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Finding the Fourth Proportional to 291.90, 438.10 and 153.17

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Solution

The fourth proportional to 291.90, 438.10 and 153.17 is: 229.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.90 : 438.10 = 153.17 : x
  2. Step 2: Convert to fraction form
    291.90/438.10 = 153.17/x
  3. Step 3: Cross multiply
    291.90x = 438.10 × 153.17
  4. Step 4: Simplify right side
    291.90x = 67,104.22
  5. Step 5: Solve for x
    x = 67,104.22/291.90
  6. Step 6: Final answer
    x = 229.89

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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.