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Finding the Fourth Proportional to 210.29, 315.33 and 64.00

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Solution

The fourth proportional to 210.29, 315.33 and 64.00 is: 95.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.29 : 315.33 = 64.00 : x
  2. Step 2: Convert to fraction form
    210.29/315.33 = 64.00/x
  3. Step 3: Cross multiply
    210.29x = 315.33 × 64.00
  4. Step 4: Simplify right side
    210.29x = 20,180.39
  5. Step 5: Solve for x
    x = 20,180.39/210.29
  6. Step 6: Final answer
    x = 95.97

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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.