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Finding the Fourth Proportional to 210.90, 316.38 and 106.82

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Solution

The fourth proportional to 210.90, 316.38 and 106.82 is: 160.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.90 : 316.38 = 106.82 : x
  2. Step 2: Convert to fraction form
    210.90/316.38 = 106.82/x
  3. Step 3: Cross multiply
    210.90x = 316.38 × 106.82
  4. Step 4: Simplify right side
    210.90x = 33,795.71
  5. Step 5: Solve for x
    x = 33,795.71/210.90
  6. Step 6: Final answer
    x = 160.25

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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.