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Finding the Fourth Proportional to 303.13, 454.02 and 148.69

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Solution

The fourth proportional to 303.13, 454.02 and 148.69 is: 222.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    303.13 : 454.02 = 148.69 : x
  2. Step 2: Convert to fraction form
    303.13/454.02 = 148.69/x
  3. Step 3: Cross multiply
    303.13x = 454.02 × 148.69
  4. Step 4: Simplify right side
    303.13x = 67,508.23
  5. Step 5: Solve for x
    x = 67,508.23/303.13
  6. Step 6: Final answer
    x = 222.70

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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.