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Finding the Fourth Proportional to 545.32, 818.08 and 199.14

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Solution

The fourth proportional to 545.32, 818.08 and 199.14 is: 298.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.32 : 818.08 = 199.14 : x
  2. Step 2: Convert to fraction form
    545.32/818.08 = 199.14/x
  3. Step 3: Cross multiply
    545.32x = 818.08 × 199.14
  4. Step 4: Simplify right side
    545.32x = 162,911.95
  5. Step 5: Solve for x
    x = 162,911.95/545.32
  6. Step 6: Final answer
    x = 298.75

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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.