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Finding the Fourth Proportional to 278.25, 417.62 and 148.36

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Solution

The fourth proportional to 278.25, 417.62 and 148.36 is: 222.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.25 : 417.62 = 148.36 : x
  2. Step 2: Convert to fraction form
    278.25/417.62 = 148.36/x
  3. Step 3: Cross multiply
    278.25x = 417.62 × 148.36
  4. Step 4: Simplify right side
    278.25x = 61,956.02
  5. Step 5: Solve for x
    x = 61,956.02/278.25
  6. Step 6: Final answer
    x = 222.67

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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.