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Finding the Fourth Proportional to 210.19, 314.75 and 132.92

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Solution

The fourth proportional to 210.19, 314.75 and 132.92 is: 199.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.19 : 314.75 = 132.92 : x
  2. Step 2: Convert to fraction form
    210.19/314.75 = 132.92/x
  3. Step 3: Cross multiply
    210.19x = 314.75 × 132.92
  4. Step 4: Simplify right side
    210.19x = 41,835.00
  5. Step 5: Solve for x
    x = 41,835.00/210.19
  6. Step 6: Final answer
    x = 199.04

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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.