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Finding the Fourth Proportional to 591.86, 887.76 and 159

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Solution

The fourth proportional to 591.86, 887.76 and 159 is: 238.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.86 : 887.76 = 159 : x
  2. Step 2: Convert to fraction form
    591.86/887.76 = 159/x
  3. Step 3: Cross multiply
    591.86x = 887.76 × 159
  4. Step 4: Simplify right side
    591.86x = 141,153.84
  5. Step 5: Solve for x
    x = 141,153.84/591.86
  6. Step 6: Final answer
    x = 238.49

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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.