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Finding the Fourth Proportional to 289.92, 400.10 and 158.93

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Solution

The fourth proportional to 289.92, 400.10 and 158.93 is: 219.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.92 : 400.10 = 158.93 : x
  2. Step 2: Convert to fraction form
    289.92/400.10 = 158.93/x
  3. Step 3: Cross multiply
    289.92x = 400.10 × 158.93
  4. Step 4: Simplify right side
    289.92x = 63,585.10
  5. Step 5: Solve for x
    x = 63,585.10/289.92
  6. Step 6: Final answer
    x = 219.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.