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Finding the Fourth Proportional to 210.74, 316.04 and 64.45

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Solution

The fourth proportional to 210.74, 316.04 and 64.45 is: 96.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.74 : 316.04 = 64.45 : x
  2. Step 2: Convert to fraction form
    210.74/316.04 = 64.45/x
  3. Step 3: Cross multiply
    210.74x = 316.04 × 64.45
  4. Step 4: Simplify right side
    210.74x = 20,367.20
  5. Step 5: Solve for x
    x = 20,367.20/210.74
  6. Step 6: Final answer
    x = 96.65

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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.