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Finding the Fourth Proportional to 250.32, 345.18 and 180.27

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Solution

The fourth proportional to 250.32, 345.18 and 180.27 is: 248.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    250.32 : 345.18 = 180.27 : x
  2. Step 2: Convert to fraction form
    250.32/345.18 = 180.27/x
  3. Step 3: Cross multiply
    250.32x = 345.18 × 180.27
  4. Step 4: Simplify right side
    250.32x = 62,225.60
  5. Step 5: Solve for x
    x = 62,225.60/250.32
  6. Step 6: Final answer
    x = 248.58

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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.