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Finding the Fourth Proportional to 210.72, 316.11 and 102.44

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Solution

The fourth proportional to 210.72, 316.11 and 102.44 is: 153.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.72 : 316.11 = 102.44 : x
  2. Step 2: Convert to fraction form
    210.72/316.11 = 102.44/x
  3. Step 3: Cross multiply
    210.72x = 316.11 × 102.44
  4. Step 4: Simplify right side
    210.72x = 32,382.31
  5. Step 5: Solve for x
    x = 32,382.31/210.72
  6. Step 6: Final answer
    x = 153.67

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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.