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Finding the Fourth Proportional to 597.67, 896.51 and 158.97

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Solution

The fourth proportional to 597.67, 896.51 and 158.97 is: 238.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.67 : 896.51 = 158.97 : x
  2. Step 2: Convert to fraction form
    597.67/896.51 = 158.97/x
  3. Step 3: Cross multiply
    597.67x = 896.51 × 158.97
  4. Step 4: Simplify right side
    597.67x = 142,516.02
  5. Step 5: Solve for x
    x = 142,516.02/597.67
  6. Step 6: Final answer
    x = 238.45

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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.