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Finding the Fourth Proportional to 292.68, 438.67 and 224.00

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Solution

The fourth proportional to 292.68, 438.67 and 224.00 is: 335.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.68 : 438.67 = 224.00 : x
  2. Step 2: Convert to fraction form
    292.68/438.67 = 224.00/x
  3. Step 3: Cross multiply
    292.68x = 438.67 × 224.00
  4. Step 4: Simplify right side
    292.68x = 98,260.55
  5. Step 5: Solve for x
    x = 98,260.55/292.68
  6. Step 6: Final answer
    x = 335.73

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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.