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Finding the Fourth Proportional to 314.75, 472.36 and 178.07

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Solution

The fourth proportional to 314.75, 472.36 and 178.07 is: 267.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.75 : 472.36 = 178.07 : x
  2. Step 2: Convert to fraction form
    314.75/472.36 = 178.07/x
  3. Step 3: Cross multiply
    314.75x = 472.36 × 178.07
  4. Step 4: Simplify right side
    314.75x = 84,110.17
  5. Step 5: Solve for x
    x = 84,110.17/314.75
  6. Step 6: Final answer
    x = 267.23

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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.