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Finding the Fourth Proportional to 598.86, 898.36 and 160.11

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Solution

The fourth proportional to 598.86, 898.36 and 160.11 is: 240.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.86 : 898.36 = 160.11 : x
  2. Step 2: Convert to fraction form
    598.86/898.36 = 160.11/x
  3. Step 3: Cross multiply
    598.86x = 898.36 × 160.11
  4. Step 4: Simplify right side
    598.86x = 143,836.02
  5. Step 5: Solve for x
    x = 143,836.02/598.86
  6. Step 6: Final answer
    x = 240.18

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.