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Finding the Fourth Proportional to 302.52, 453.78 and 97.08

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Solution

The fourth proportional to 302.52, 453.78 and 97.08 is: 145.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.52 : 453.78 = 97.08 : x
  2. Step 2: Convert to fraction form
    302.52/453.78 = 97.08/x
  3. Step 3: Cross multiply
    302.52x = 453.78 × 97.08
  4. Step 4: Simplify right side
    302.52x = 44,052.48
  5. Step 5: Solve for x
    x = 44,052.48/302.52
  6. Step 6: Final answer
    x = 145.62

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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.