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Finding the Fourth Proportional to 250.29, 345.37 and 139.77

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Solution

The fourth proportional to 250.29, 345.37 and 139.77 is: 192.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    250.29 : 345.37 = 139.77 : x
  2. Step 2: Convert to fraction form
    250.29/345.37 = 139.77/x
  3. Step 3: Cross multiply
    250.29x = 345.37 × 139.77
  4. Step 4: Simplify right side
    250.29x = 48,272.36
  5. Step 5: Solve for x
    x = 48,272.36/250.29
  6. Step 6: Final answer
    x = 192.87

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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.