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Finding the Fourth Proportional to 177.66, 266.06 and 100.42

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Solution

The fourth proportional to 177.66, 266.06 and 100.42 is: 150.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.66 : 266.06 = 100.42 : x
  2. Step 2: Convert to fraction form
    177.66/266.06 = 100.42/x
  3. Step 3: Cross multiply
    177.66x = 266.06 × 100.42
  4. Step 4: Simplify right side
    177.66x = 26,717.75
  5. Step 5: Solve for x
    x = 26,717.75/177.66
  6. Step 6: Final answer
    x = 150.39

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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.