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Finding the Fourth Proportional to 291.59, 437.10 and 145.22

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Solution

The fourth proportional to 291.59, 437.10 and 145.22 is: 217.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.59 : 437.10 = 145.22 : x
  2. Step 2: Convert to fraction form
    291.59/437.10 = 145.22/x
  3. Step 3: Cross multiply
    291.59x = 437.10 × 145.22
  4. Step 4: Simplify right side
    291.59x = 63,475.66
  5. Step 5: Solve for x
    x = 63,475.66/291.59
  6. Step 6: Final answer
    x = 217.69

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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.