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Finding the Fourth Proportional to 177.98, 265.49 and 149.28

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Solution

The fourth proportional to 177.98, 265.49 and 149.28 is: 222.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.98 : 265.49 = 149.28 : x
  2. Step 2: Convert to fraction form
    177.98/265.49 = 149.28/x
  3. Step 3: Cross multiply
    177.98x = 265.49 × 149.28
  4. Step 4: Simplify right side
    177.98x = 39,631.60
  5. Step 5: Solve for x
    x = 39,631.60/177.98
  6. Step 6: Final answer
    x = 222.68

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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.