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Finding the Fourth Proportional to 210, 316.62 and 167.76

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Solution

The fourth proportional to 210, 316.62 and 167.76 is: 252.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    210 : 316.62 = 167.76 : x
  2. Step 2: Convert to fraction form
    210/316.62 = 167.76/x
  3. Step 3: Cross multiply
    210x = 316.62 × 167.76
  4. Step 4: Simplify right side
    210x = 53,116.17
  5. Step 5: Solve for x
    x = 53,116.17/210
  6. Step 6: Final answer
    x = 252.93

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