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Finding the Fourth Proportional to 265.72, 366.50 and 177.16

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Solution

The fourth proportional to 265.72, 366.50 and 177.16 is: 244.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.72 : 366.50 = 177.16 : x
  2. Step 2: Convert to fraction form
    265.72/366.50 = 177.16/x
  3. Step 3: Cross multiply
    265.72x = 366.50 × 177.16
  4. Step 4: Simplify right side
    265.72x = 64,929.14
  5. Step 5: Solve for x
    x = 64,929.14/265.72
  6. Step 6: Final answer
    x = 244.35

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.