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Finding the Fourth Proportional to 291.43, 437.16 and 96.46

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Solution

The fourth proportional to 291.43, 437.16 and 96.46 is: 144.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.43 : 437.16 = 96.46 : x
  2. Step 2: Convert to fraction form
    291.43/437.16 = 96.46/x
  3. Step 3: Cross multiply
    291.43x = 437.16 × 96.46
  4. Step 4: Simplify right side
    291.43x = 42,167.72
  5. Step 5: Solve for x
    x = 42,167.72/291.43
  6. Step 6: Final answer
    x = 144.69

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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.