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Finding the Fourth Proportional to 177.51, 266.23 and 86.18

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Solution

The fourth proportional to 177.51, 266.23 and 86.18 is: 129.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.51 : 266.23 = 86.18 : x
  2. Step 2: Convert to fraction form
    177.51/266.23 = 86.18/x
  3. Step 3: Cross multiply
    177.51x = 266.23 × 86.18
  4. Step 4: Simplify right side
    177.51x = 22,943.70
  5. Step 5: Solve for x
    x = 22,943.70/177.51
  6. Step 6: Final answer
    x = 129.25

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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.