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Finding the Fourth Proportional to 278.61, 384.63 and 185.48

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Solution

The fourth proportional to 278.61, 384.63 and 185.48 is: 256.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.61 : 384.63 = 185.48 : x
  2. Step 2: Convert to fraction form
    278.61/384.63 = 185.48/x
  3. Step 3: Cross multiply
    278.61x = 384.63 × 185.48
  4. Step 4: Simplify right side
    278.61x = 71,341.17
  5. Step 5: Solve for x
    x = 71,341.17/278.61
  6. Step 6: Final answer
    x = 256.06

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