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Finding the Fourth Proportional to 360.87, 498.18 and 213.55

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Solution

The fourth proportional to 360.87, 498.18 and 213.55 is: 294.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.87 : 498.18 = 213.55 : x
  2. Step 2: Convert to fraction form
    360.87/498.18 = 213.55/x
  3. Step 3: Cross multiply
    360.87x = 498.18 × 213.55
  4. Step 4: Simplify right side
    360.87x = 106,386.34
  5. Step 5: Solve for x
    x = 106,386.34/360.87
  6. Step 6: Final answer
    x = 294.81

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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.