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Finding the Fourth Proportional to 302.13, 452.93 and 147.96

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Solution

The fourth proportional to 302.13, 452.93 and 147.96 is: 221.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.13 : 452.93 = 147.96 : x
  2. Step 2: Convert to fraction form
    302.13/452.93 = 147.96/x
  3. Step 3: Cross multiply
    302.13x = 452.93 × 147.96
  4. Step 4: Simplify right side
    302.13x = 67,013.26
  5. Step 5: Solve for x
    x = 67,013.26/302.13
  6. Step 6: Final answer
    x = 221.81

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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.