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Finding the Fourth Proportional to 265.17, 366.17 and 172.07

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Solution

The fourth proportional to 265.17, 366.17 and 172.07 is: 237.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.17 : 366.17 = 172.07 : x
  2. Step 2: Convert to fraction form
    265.17/366.17 = 172.07/x
  3. Step 3: Cross multiply
    265.17x = 366.17 × 172.07
  4. Step 4: Simplify right side
    265.17x = 63,008.58
  5. Step 5: Solve for x
    x = 63,008.58/265.17
  6. Step 6: Final answer
    x = 237.61

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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.