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Finding the Fourth Proportional to 209.82, 314.75 and 88.06

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Solution

The fourth proportional to 209.82, 314.75 and 88.06 is: 132.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.82 : 314.75 = 88.06 : x
  2. Step 2: Convert to fraction form
    209.82/314.75 = 88.06/x
  3. Step 3: Cross multiply
    209.82x = 314.75 × 88.06
  4. Step 4: Simplify right side
    209.82x = 27,716.89
  5. Step 5: Solve for x
    x = 27,716.89/209.82
  6. Step 6: Final answer
    x = 132.10

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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.