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Finding the Fourth Proportional to 565.05, 847.55 and 148.57

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Solution

The fourth proportional to 565.05, 847.55 and 148.57 is: 222.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.05 : 847.55 = 148.57 : x
  2. Step 2: Convert to fraction form
    565.05/847.55 = 148.57/x
  3. Step 3: Cross multiply
    565.05x = 847.55 × 148.57
  4. Step 4: Simplify right side
    565.05x = 125,920.13
  5. Step 5: Solve for x
    x = 125,920.13/565.05
  6. Step 6: Final answer
    x = 222.85

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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.