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Finding the Fourth Proportional to 278.22, 417.46 and 148.38

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Solution

The fourth proportional to 278.22, 417.46 and 148.38 is: 222.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.22 : 417.46 = 148.38 : x
  2. Step 2: Convert to fraction form
    278.22/417.46 = 148.38/x
  3. Step 3: Cross multiply
    278.22x = 417.46 × 148.38
  4. Step 4: Simplify right side
    278.22x = 61,942.71
  5. Step 5: Solve for x
    x = 61,942.71/278.22
  6. Step 6: Final answer
    x = 222.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.