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Finding the Fourth Proportional to 278.66, 384.58 and 160.64

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Solution

The fourth proportional to 278.66, 384.58 and 160.64 is: 221.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.66 : 384.58 = 160.64 : x
  2. Step 2: Convert to fraction form
    278.66/384.58 = 160.64/x
  3. Step 3: Cross multiply
    278.66x = 384.58 × 160.64
  4. Step 4: Simplify right side
    278.66x = 61,776.21
  5. Step 5: Solve for x
    x = 61,776.21/278.66
  6. Step 6: Final answer
    x = 221.69

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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.