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Finding the Fourth Proportional to 391.29, 586.93 and 147.77

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Solution

The fourth proportional to 391.29, 586.93 and 147.77 is: 221.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    391.29 : 586.93 = 147.77 : x
  2. Step 2: Convert to fraction form
    391.29/586.93 = 147.77/x
  3. Step 3: Cross multiply
    391.29x = 586.93 × 147.77
  4. Step 4: Simplify right side
    391.29x = 86,730.65
  5. Step 5: Solve for x
    x = 86,730.65/391.29
  6. Step 6: Final answer
    x = 221.65

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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.