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Finding the Fourth Proportional to 210.64, 315.96 and 64.39

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Solution

The fourth proportional to 210.64, 315.96 and 64.39 is: 96.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.64 : 315.96 = 64.39 : x
  2. Step 2: Convert to fraction form
    210.64/315.96 = 64.39/x
  3. Step 3: Cross multiply
    210.64x = 315.96 × 64.39
  4. Step 4: Simplify right side
    210.64x = 20,344.66
  5. Step 5: Solve for x
    x = 20,344.66/210.64
  6. Step 6: Final answer
    x = 96.59

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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.