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Finding the Fourth Proportional to 377.92, 566.85 and 146.77

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Solution

The fourth proportional to 377.92, 566.85 and 146.77 is: 220.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.92 : 566.85 = 146.77 : x
  2. Step 2: Convert to fraction form
    377.92/566.85 = 146.77/x
  3. Step 3: Cross multiply
    377.92x = 566.85 × 146.77
  4. Step 4: Simplify right side
    377.92x = 83,196.57
  5. Step 5: Solve for x
    x = 83,196.57/377.92
  6. Step 6: Final answer
    x = 220.14

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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.