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Finding the Fourth Proportional to 199.42, 275.12 and 116.50

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Solution

The fourth proportional to 199.42, 275.12 and 116.50 is: 160.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.42 : 275.12 = 116.50 : x
  2. Step 2: Convert to fraction form
    199.42/275.12 = 116.50/x
  3. Step 3: Cross multiply
    199.42x = 275.12 × 116.50
  4. Step 4: Simplify right side
    199.42x = 32,050.65
  5. Step 5: Solve for x
    x = 32,050.65/199.42
  6. Step 6: Final answer
    x = 160.72

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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.