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Finding the Fourth Proportional to 210.86, 316.10 and 102.50

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Solution

The fourth proportional to 210.86, 316.10 and 102.50 is: 153.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.86 : 316.10 = 102.50 : x
  2. Step 2: Convert to fraction form
    210.86/316.10 = 102.50/x
  3. Step 3: Cross multiply
    210.86x = 316.10 × 102.50
  4. Step 4: Simplify right side
    210.86x = 32,400.25
  5. Step 5: Solve for x
    x = 32,400.25/210.86
  6. Step 6: Final answer
    x = 153.66

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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.