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Finding the Fourth Proportional to 280.06, 420.18 and 117.88

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Solution

The fourth proportional to 280.06, 420.18 and 117.88 is: 176.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.06 : 420.18 = 117.88 : x
  2. Step 2: Convert to fraction form
    280.06/420.18 = 117.88/x
  3. Step 3: Cross multiply
    280.06x = 420.18 × 117.88
  4. Step 4: Simplify right side
    280.06x = 49,530.82
  5. Step 5: Solve for x
    x = 49,530.82/280.06
  6. Step 6: Final answer
    x = 176.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.