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Finding the Fourth Proportional to 278.61, 384.47 and 162.15

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Solution

The fourth proportional to 278.61, 384.47 and 162.15 is: 223.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.61 : 384.47 = 162.15 : x
  2. Step 2: Convert to fraction form
    278.61/384.47 = 162.15/x
  3. Step 3: Cross multiply
    278.61x = 384.47 × 162.15
  4. Step 4: Simplify right side
    278.61x = 62,341.00
  5. Step 5: Solve for x
    x = 62,341.00/278.61
  6. Step 6: Final answer
    x = 223.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.