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Finding the Fourth Proportional to 210.55, 316.01 and 123.97

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Solution

The fourth proportional to 210.55, 316.01 and 123.97 is: 186.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.55 : 316.01 = 123.97 : x
  2. Step 2: Convert to fraction form
    210.55/316.01 = 123.97/x
  3. Step 3: Cross multiply
    210.55x = 316.01 × 123.97
  4. Step 4: Simplify right side
    210.55x = 39,175.76
  5. Step 5: Solve for x
    x = 39,175.76/210.55
  6. Step 6: Final answer
    x = 186.06

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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.