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Finding the Fourth Proportional to 302.52, 453.82 and 97.02

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Solution

The fourth proportional to 302.52, 453.82 and 97.02 is: 145.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.52 : 453.82 = 97.02 : x
  2. Step 2: Convert to fraction form
    302.52/453.82 = 97.02/x
  3. Step 3: Cross multiply
    302.52x = 453.82 × 97.02
  4. Step 4: Simplify right side
    302.52x = 44,029.37
  5. Step 5: Solve for x
    x = 44,029.37/302.52
  6. Step 6: Final answer
    x = 145.54

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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.