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Finding the Fourth Proportional to 302.71, 453.95 and 120.13

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Solution

The fourth proportional to 302.71, 453.95 and 120.13 is: 180.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.71 : 453.95 = 120.13 : x
  2. Step 2: Convert to fraction form
    302.71/453.95 = 120.13/x
  3. Step 3: Cross multiply
    302.71x = 453.95 × 120.13
  4. Step 4: Simplify right side
    302.71x = 54,530.14
  5. Step 5: Solve for x
    x = 54,530.14/302.71
  6. Step 6: Final answer
    x = 180.14

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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.