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Finding the Fourth Proportional to 177.34, 266.03 and 90.74

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Solution

The fourth proportional to 177.34, 266.03 and 90.74 is: 136.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.34 : 266.03 = 90.74 : x
  2. Step 2: Convert to fraction form
    177.34/266.03 = 90.74/x
  3. Step 3: Cross multiply
    177.34x = 266.03 × 90.74
  4. Step 4: Simplify right side
    177.34x = 24,137.78
  5. Step 5: Solve for x
    x = 24,137.78/177.34
  6. Step 6: Final answer
    x = 136.11

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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.