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Finding the Fourth Proportional to 278.32, 417.86 and 156.67

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Solution

The fourth proportional to 278.32, 417.86 and 156.67 is: 235.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.32 : 417.86 = 156.67 : x
  2. Step 2: Convert to fraction form
    278.32/417.86 = 156.67/x
  3. Step 3: Cross multiply
    278.32x = 417.86 × 156.67
  4. Step 4: Simplify right side
    278.32x = 65,466.13
  5. Step 5: Solve for x
    x = 65,466.13/278.32
  6. Step 6: Final answer
    x = 235.22

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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.