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Finding the Fourth Proportional to 291.74, 437.64 and 83.50

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Solution

The fourth proportional to 291.74, 437.64 and 83.50 is: 125.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.74 : 437.64 = 83.50 : x
  2. Step 2: Convert to fraction form
    291.74/437.64 = 83.50/x
  3. Step 3: Cross multiply
    291.74x = 437.64 × 83.50
  4. Step 4: Simplify right side
    291.74x = 36,543.93
  5. Step 5: Solve for x
    x = 36,543.93/291.74
  6. Step 6: Final answer
    x = 125.26

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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.