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Finding the Fourth Proportional to 302.79, 454.11 and 120.13

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Solution

The fourth proportional to 302.79, 454.11 and 120.13 is: 180.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.79 : 454.11 = 120.13 : x
  2. Step 2: Convert to fraction form
    302.79/454.11 = 120.13/x
  3. Step 3: Cross multiply
    302.79x = 454.11 × 120.13
  4. Step 4: Simplify right side
    302.79x = 54,552.23
  5. Step 5: Solve for x
    x = 54,552.23/302.79
  6. Step 6: Final answer
    x = 180.17

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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.