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Finding the Fourth Proportional to 712.16, 1,067.56 and 225.10

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Solution

The fourth proportional to 712.16, 1,067.56 and 225.10 is: 337.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.16 : 1,067.56 = 225.10 : x
  2. Step 2: Convert to fraction form
    712.16/1,067.56 = 225.10/x
  3. Step 3: Cross multiply
    712.16x = 1,067.56 × 225.10
  4. Step 4: Simplify right side
    712.16x = 240,307.76
  5. Step 5: Solve for x
    x = 240,307.76/712.16
  6. Step 6: Final answer
    x = 337.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.