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Finding the Fourth Proportional to 302.92, 454.51 and 148.98

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Solution

The fourth proportional to 302.92, 454.51 and 148.98 is: 223.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.92 : 454.51 = 148.98 : x
  2. Step 2: Convert to fraction form
    302.92/454.51 = 148.98/x
  3. Step 3: Cross multiply
    302.92x = 454.51 × 148.98
  4. Step 4: Simplify right side
    302.92x = 67,712.90
  5. Step 5: Solve for x
    x = 67,712.90/302.92
  6. Step 6: Final answer
    x = 223.53

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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.