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Finding the Fourth Proportional to 302.54, 453.77 and 97.12

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Solution

The fourth proportional to 302.54, 453.77 and 97.12 is: 145.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.54 : 453.77 = 97.12 : x
  2. Step 2: Convert to fraction form
    302.54/453.77 = 97.12/x
  3. Step 3: Cross multiply
    302.54x = 453.77 × 97.12
  4. Step 4: Simplify right side
    302.54x = 44,068.04
  5. Step 5: Solve for x
    x = 44,068.04/302.54
  6. Step 6: Final answer
    x = 145.66

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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.