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Finding the Fourth Proportional to 291.60, 402.24 and 175.14

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Solution

The fourth proportional to 291.60, 402.24 and 175.14 is: 241.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.60 : 402.24 = 175.14 : x
  2. Step 2: Convert to fraction form
    291.60/402.24 = 175.14/x
  3. Step 3: Cross multiply
    291.60x = 402.24 × 175.14
  4. Step 4: Simplify right side
    291.60x = 70,448.31
  5. Step 5: Solve for x
    x = 70,448.31/291.60
  6. Step 6: Final answer
    x = 241.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.