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Finding the Fourth Proportional to 244.31, 365.78 and 152.78

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Solution

The fourth proportional to 244.31, 365.78 and 152.78 is: 228.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    244.31 : 365.78 = 152.78 : x
  2. Step 2: Convert to fraction form
    244.31/365.78 = 152.78/x
  3. Step 3: Cross multiply
    244.31x = 365.78 × 152.78
  4. Step 4: Simplify right side
    244.31x = 55,881.28
  5. Step 5: Solve for x
    x = 55,881.28/244.31
  6. Step 6: Final answer
    x = 228.74

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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.