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Finding the Fourth Proportional to 278.52, 384.16 and 180.16

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Solution

The fourth proportional to 278.52, 384.16 and 180.16 is: 248.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.52 : 384.16 = 180.16 : x
  2. Step 2: Convert to fraction form
    278.52/384.16 = 180.16/x
  3. Step 3: Cross multiply
    278.52x = 384.16 × 180.16
  4. Step 4: Simplify right side
    278.52x = 69,210.27
  5. Step 5: Solve for x
    x = 69,210.27/278.52
  6. Step 6: Final answer
    x = 248.49

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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.