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Finding the Fourth Proportional to 210.86, 316.29 and 102.66

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Solution

The fourth proportional to 210.86, 316.29 and 102.66 is: 153.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.86 : 316.29 = 102.66 : x
  2. Step 2: Convert to fraction form
    210.86/316.29 = 102.66/x
  3. Step 3: Cross multiply
    210.86x = 316.29 × 102.66
  4. Step 4: Simplify right side
    210.86x = 32,470.33
  5. Step 5: Solve for x
    x = 32,470.33/210.86
  6. Step 6: Final answer
    x = 153.99

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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.