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Finding the Fourth Proportional to 302.18, 453.24 and 147.95

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Solution

The fourth proportional to 302.18, 453.24 and 147.95 is: 221.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.18 : 453.24 = 147.95 : x
  2. Step 2: Convert to fraction form
    302.18/453.24 = 147.95/x
  3. Step 3: Cross multiply
    302.18x = 453.24 × 147.95
  4. Step 4: Simplify right side
    302.18x = 67,054.59
  5. Step 5: Solve for x
    x = 67,054.59/302.18
  6. Step 6: Final answer
    x = 221.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.