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Finding the Fourth Proportional to 598.02, 896.96 and 187.16

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Solution

The fourth proportional to 598.02, 896.96 and 187.16 is: 280.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.02 : 896.96 = 187.16 : x
  2. Step 2: Convert to fraction form
    598.02/896.96 = 187.16/x
  3. Step 3: Cross multiply
    598.02x = 896.96 × 187.16
  4. Step 4: Simplify right side
    598.02x = 167,869.61
  5. Step 5: Solve for x
    x = 167,869.61/598.02
  6. Step 6: Final answer
    x = 280.71

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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.