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Finding the Fourth Proportional to 210.32, 315.80 and 119.12

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Solution

The fourth proportional to 210.32, 315.80 and 119.12 is: 178.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.32 : 315.80 = 119.12 : x
  2. Step 2: Convert to fraction form
    210.32/315.80 = 119.12/x
  3. Step 3: Cross multiply
    210.32x = 315.80 × 119.12
  4. Step 4: Simplify right side
    210.32x = 37,618.10
  5. Step 5: Solve for x
    x = 37,618.10/210.32
  6. Step 6: Final answer
    x = 178.86

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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.