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Finding the Fourth Proportional to 545.64, 818.45 and 134.78

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Solution

The fourth proportional to 545.64, 818.45 and 134.78 is: 202.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.64 : 818.45 = 134.78 : x
  2. Step 2: Convert to fraction form
    545.64/818.45 = 134.78/x
  3. Step 3: Cross multiply
    545.64x = 818.45 × 134.78
  4. Step 4: Simplify right side
    545.64x = 110,305.92
  5. Step 5: Solve for x
    x = 110,305.92/545.64
  6. Step 6: Final answer
    x = 202.16

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.