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Finding the Fourth Proportional to 278.48, 418.08 and 150.32

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Solution

The fourth proportional to 278.48, 418.08 and 150.32 is: 225.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.48 : 418.08 = 150.32 : x
  2. Step 2: Convert to fraction form
    278.48/418.08 = 150.32/x
  3. Step 3: Cross multiply
    278.48x = 418.08 × 150.32
  4. Step 4: Simplify right side
    278.48x = 62,845.79
  5. Step 5: Solve for x
    x = 62,845.79/278.48
  6. Step 6: Final answer
    x = 225.67

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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.