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Finding the Fourth Proportional to 280.64, 421.14 and 118.46

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Solution

The fourth proportional to 280.64, 421.14 and 118.46 is: 177.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.64 : 421.14 = 118.46 : x
  2. Step 2: Convert to fraction form
    280.64/421.14 = 118.46/x
  3. Step 3: Cross multiply
    280.64x = 421.14 × 118.46
  4. Step 4: Simplify right side
    280.64x = 49,888.24
  5. Step 5: Solve for x
    x = 49,888.24/280.64
  6. Step 6: Final answer
    x = 177.77

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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.