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Finding the Fourth Proportional to 291.84, 402.57 and 175.38

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Solution

The fourth proportional to 291.84, 402.57 and 175.38 is: 241.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.84 : 402.57 = 175.38 : x
  2. Step 2: Convert to fraction form
    291.84/402.57 = 175.38/x
  3. Step 3: Cross multiply
    291.84x = 402.57 × 175.38
  4. Step 4: Simplify right side
    291.84x = 70,602.73
  5. Step 5: Solve for x
    x = 70,602.73/291.84
  6. Step 6: Final answer
    x = 241.92

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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.