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Finding the Fourth Proportional to 210.59, 316.05 and 119.33

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Solution

The fourth proportional to 210.59, 316.05 and 119.33 is: 179.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.59 : 316.05 = 119.33 : x
  2. Step 2: Convert to fraction form
    210.59/316.05 = 119.33/x
  3. Step 3: Cross multiply
    210.59x = 316.05 × 119.33
  4. Step 4: Simplify right side
    210.59x = 37,714.25
  5. Step 5: Solve for x
    x = 37,714.25/210.59
  6. Step 6: Final answer
    x = 179.09

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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.