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Finding the Fourth Proportional to 291.67, 437.15 and 118.24

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Solution

The fourth proportional to 291.67, 437.15 and 118.24 is: 177.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.67 : 437.15 = 118.24 : x
  2. Step 2: Convert to fraction form
    291.67/437.15 = 118.24/x
  3. Step 3: Cross multiply
    291.67x = 437.15 × 118.24
  4. Step 4: Simplify right side
    291.67x = 51,688.02
  5. Step 5: Solve for x
    x = 51,688.02/291.67
  6. Step 6: Final answer
    x = 177.21

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.