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Finding the Fourth Proportional to 209.61, 314.16 and 106.74

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Solution

The fourth proportional to 209.61, 314.16 and 106.74 is: 159.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.61 : 314.16 = 106.74 : x
  2. Step 2: Convert to fraction form
    209.61/314.16 = 106.74/x
  3. Step 3: Cross multiply
    209.61x = 314.16 × 106.74
  4. Step 4: Simplify right side
    209.61x = 33,533.44
  5. Step 5: Solve for x
    x = 33,533.44/209.61
  6. Step 6: Final answer
    x = 159.98

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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.