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Finding the Fourth Proportional to 177.55, 265.98 and 100.27

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Solution

The fourth proportional to 177.55, 265.98 and 100.27 is: 150.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.55 : 265.98 = 100.27 : x
  2. Step 2: Convert to fraction form
    177.55/265.98 = 100.27/x
  3. Step 3: Cross multiply
    177.55x = 265.98 × 100.27
  4. Step 4: Simplify right side
    177.55x = 26,669.77
  5. Step 5: Solve for x
    x = 26,669.77/177.55
  6. Step 6: Final answer
    x = 150.21

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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.