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Finding the Fourth Proportional to 250.86, 345.96 and 207.12

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Solution

The fourth proportional to 250.86, 345.96 and 207.12 is: 285.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    250.86 : 345.96 = 207.12 : x
  2. Step 2: Convert to fraction form
    250.86/345.96 = 207.12/x
  3. Step 3: Cross multiply
    250.86x = 345.96 × 207.12
  4. Step 4: Simplify right side
    250.86x = 71,655.24
  5. Step 5: Solve for x
    x = 71,655.24/250.86
  6. Step 6: Final answer
    x = 285.64

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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.