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Finding the Fourth Proportional to 177.28, 264.65 and 149.93

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Solution

The fourth proportional to 177.28, 264.65 and 149.93 is: 223.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.28 : 264.65 = 149.93 : x
  2. Step 2: Convert to fraction form
    177.28/264.65 = 149.93/x
  3. Step 3: Cross multiply
    177.28x = 264.65 × 149.93
  4. Step 4: Simplify right side
    177.28x = 39,679.35
  5. Step 5: Solve for x
    x = 39,679.35/177.28
  6. Step 6: Final answer
    x = 223.82

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.