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Finding the Fourth Proportional to 177.86, 266.91 and 99.69

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Solution

The fourth proportional to 177.86, 266.91 and 99.69 is: 149.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.86 : 266.91 = 99.69 : x
  2. Step 2: Convert to fraction form
    177.86/266.91 = 99.69/x
  3. Step 3: Cross multiply
    177.86x = 266.91 × 99.69
  4. Step 4: Simplify right side
    177.86x = 26,606.67
  5. Step 5: Solve for x
    x = 26,606.67/177.86
  6. Step 6: Final answer
    x = 149.60

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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.