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Finding the Fourth Proportional to 209.66, 315.56 and 158.55

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Solution

The fourth proportional to 209.66, 315.56 and 158.55 is: 238.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.66 : 315.56 = 158.55 : x
  2. Step 2: Convert to fraction form
    209.66/315.56 = 158.55/x
  3. Step 3: Cross multiply
    209.66x = 315.56 × 158.55
  4. Step 4: Simplify right side
    209.66x = 50,031.25
  5. Step 5: Solve for x
    x = 50,031.25/209.66
  6. Step 6: Final answer
    x = 238.64

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.