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Finding the Fourth Proportional to 291.98, 438.06 and 147.71

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Solution

The fourth proportional to 291.98, 438.06 and 147.71 is: 221.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.98 : 438.06 = 147.71 : x
  2. Step 2: Convert to fraction form
    291.98/438.06 = 147.71/x
  3. Step 3: Cross multiply
    291.98x = 438.06 × 147.71
  4. Step 4: Simplify right side
    291.98x = 64,705.84
  5. Step 5: Solve for x
    x = 64,705.84/291.98
  6. Step 6: Final answer
    x = 221.61

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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.