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Finding the Fourth Proportional to 598.56, 897.81 and 159.81

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Solution

The fourth proportional to 598.56, 897.81 and 159.81 is: 239.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.56 : 897.81 = 159.81 : x
  2. Step 2: Convert to fraction form
    598.56/897.81 = 159.81/x
  3. Step 3: Cross multiply
    598.56x = 897.81 × 159.81
  4. Step 4: Simplify right side
    598.56x = 143,479.02
  5. Step 5: Solve for x
    x = 143,479.02/598.56
  6. Step 6: Final answer
    x = 239.71

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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.