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Finding the Fourth Proportional to 249.16, 373.82 and 146.54

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Solution

The fourth proportional to 249.16, 373.82 and 146.54 is: 219.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    249.16 : 373.82 = 146.54 : x
  2. Step 2: Convert to fraction form
    249.16/373.82 = 146.54/x
  3. Step 3: Cross multiply
    249.16x = 373.82 × 146.54
  4. Step 4: Simplify right side
    249.16x = 54,779.58
  5. Step 5: Solve for x
    x = 54,779.58/249.16
  6. Step 6: Final answer
    x = 219.86

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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.