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Finding the Fourth Proportional to 252.73, 377.14 and 216.15

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Solution

The fourth proportional to 252.73, 377.14 and 216.15 is: 322.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.73 : 377.14 = 216.15 : x
  2. Step 2: Convert to fraction form
    252.73/377.14 = 216.15/x
  3. Step 3: Cross multiply
    252.73x = 377.14 × 216.15
  4. Step 4: Simplify right side
    252.73x = 81,518.81
  5. Step 5: Solve for x
    x = 81,518.81/252.73
  6. Step 6: Final answer
    x = 322.55

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.