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Finding the Fourth Proportional to 302.13, 452.84 and 128.74

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Solution

The fourth proportional to 302.13, 452.84 and 128.74 is: 192.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.13 : 452.84 = 128.74 : x
  2. Step 2: Convert to fraction form
    302.13/452.84 = 128.74/x
  3. Step 3: Cross multiply
    302.13x = 452.84 × 128.74
  4. Step 4: Simplify right side
    302.13x = 58,298.62
  5. Step 5: Solve for x
    x = 58,298.62/302.13
  6. Step 6: Final answer
    x = 192.96

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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.