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Finding the Fourth Proportional to 302.13, 453.15 and 137.57

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Solution

The fourth proportional to 302.13, 453.15 and 137.57 is: 206.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.13 : 453.15 = 137.57 : x
  2. Step 2: Convert to fraction form
    302.13/453.15 = 137.57/x
  3. Step 3: Cross multiply
    302.13x = 453.15 × 137.57
  4. Step 4: Simplify right side
    302.13x = 62,337.58
  5. Step 5: Solve for x
    x = 62,337.58/302.13
  6. Step 6: Final answer
    x = 206.33

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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.