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Finding the Fourth Proportional to 303.02, 454.61 and 97.61

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Solution

The fourth proportional to 303.02, 454.61 and 97.61 is: 146.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    303.02 : 454.61 = 97.61 : x
  2. Step 2: Convert to fraction form
    303.02/454.61 = 97.61/x
  3. Step 3: Cross multiply
    303.02x = 454.61 × 97.61
  4. Step 4: Simplify right side
    303.02x = 44,375.86
  5. Step 5: Solve for x
    x = 44,375.86/303.02
  6. Step 6: Final answer
    x = 146.45

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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.