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Finding the Fourth Proportional to 210.76, 316.21 and 149.07

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Solution

The fourth proportional to 210.76, 316.21 and 149.07 is: 223.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.76 : 316.21 = 149.07 : x
  2. Step 2: Convert to fraction form
    210.76/316.21 = 149.07/x
  3. Step 3: Cross multiply
    210.76x = 316.21 × 149.07
  4. Step 4: Simplify right side
    210.76x = 47,137.42
  5. Step 5: Solve for x
    x = 47,137.42/210.76
  6. Step 6: Final answer
    x = 223.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.