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Finding the Fourth Proportional to 225.18, 338.13 and 214.52

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Solution

The fourth proportional to 225.18, 338.13 and 214.52 is: 322.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.18 : 338.13 = 214.52 : x
  2. Step 2: Convert to fraction form
    225.18/338.13 = 214.52/x
  3. Step 3: Cross multiply
    225.18x = 338.13 × 214.52
  4. Step 4: Simplify right side
    225.18x = 72,533.96
  5. Step 5: Solve for x
    x = 72,533.96/225.18
  6. Step 6: Final answer
    x = 322.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.