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Finding the Fourth Proportional to 291.67, 437.47 and 118.16

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Solution

The fourth proportional to 291.67, 437.47 and 118.16 is: 177.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.67 : 437.47 = 118.16 : x
  2. Step 2: Convert to fraction form
    291.67/437.47 = 118.16/x
  3. Step 3: Cross multiply
    291.67x = 437.47 × 118.16
  4. Step 4: Simplify right side
    291.67x = 51,690.61
  5. Step 5: Solve for x
    x = 51,690.61/291.67
  6. Step 6: Final answer
    x = 177.22

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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.