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Finding the Fourth Proportional to 337.95, 506.65 and 145.47

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Solution

The fourth proportional to 337.95, 506.65 and 145.47 is: 218.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    337.95 : 506.65 = 145.47 : x
  2. Step 2: Convert to fraction form
    337.95/506.65 = 145.47/x
  3. Step 3: Cross multiply
    337.95x = 506.65 × 145.47
  4. Step 4: Simplify right side
    337.95x = 73,701.65
  5. Step 5: Solve for x
    x = 73,701.65/337.95
  6. Step 6: Final answer
    x = 218.08

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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.