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Finding the Fourth Proportional to 278.11, 417.41 and 148.22

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Solution

The fourth proportional to 278.11, 417.41 and 148.22 is: 222.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.11 : 417.41 = 148.22 : x
  2. Step 2: Convert to fraction form
    278.11/417.41 = 148.22/x
  3. Step 3: Cross multiply
    278.11x = 417.41 × 148.22
  4. Step 4: Simplify right side
    278.11x = 61,866.42
  5. Step 5: Solve for x
    x = 61,866.42/278.11
  6. Step 6: Final answer
    x = 222.46

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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.