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Finding the Fourth Proportional to 316.06, 473.72 and 120.86

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Solution

The fourth proportional to 316.06, 473.72 and 120.86 is: 181.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.06 : 473.72 = 120.86 : x
  2. Step 2: Convert to fraction form
    316.06/473.72 = 120.86/x
  3. Step 3: Cross multiply
    316.06x = 473.72 × 120.86
  4. Step 4: Simplify right side
    316.06x = 57,253.80
  5. Step 5: Solve for x
    x = 57,253.80/316.06
  6. Step 6: Final answer
    x = 181.15

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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.