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Finding the Fourth Proportional to 243.83, 367.16 and 175.82

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Solution

The fourth proportional to 243.83, 367.16 and 175.82 is: 264.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    243.83 : 367.16 = 175.82 : x
  2. Step 2: Convert to fraction form
    243.83/367.16 = 175.82/x
  3. Step 3: Cross multiply
    243.83x = 367.16 × 175.82
  4. Step 4: Simplify right side
    243.83x = 64,551.36
  5. Step 5: Solve for x
    x = 64,551.36/243.83
  6. Step 6: Final answer
    x = 264.74

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.