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Finding the Fourth Proportional to 250.66, 345.78 and 171.98

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Solution

The fourth proportional to 250.66, 345.78 and 171.98 is: 237.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    250.66 : 345.78 = 171.98 : x
  2. Step 2: Convert to fraction form
    250.66/345.78 = 171.98/x
  3. Step 3: Cross multiply
    250.66x = 345.78 × 171.98
  4. Step 4: Simplify right side
    250.66x = 59,467.24
  5. Step 5: Solve for x
    x = 59,467.24/250.66
  6. Step 6: Final answer
    x = 237.24

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