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Finding the Fourth Proportional to 591.58, 887.25 and 158.74

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Solution

The fourth proportional to 591.58, 887.25 and 158.74 is: 238.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.58 : 887.25 = 158.74 : x
  2. Step 2: Convert to fraction form
    591.58/887.25 = 158.74/x
  3. Step 3: Cross multiply
    591.58x = 887.25 × 158.74
  4. Step 4: Simplify right side
    591.58x = 140,842.07
  5. Step 5: Solve for x
    x = 140,842.07/591.58
  6. Step 6: Final answer
    x = 238.08

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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.