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Finding the Fourth Proportional to 210.45, 315.71 and 64.21

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Solution

The fourth proportional to 210.45, 315.71 and 64.21 is: 96.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.45 : 315.71 = 64.21 : x
  2. Step 2: Convert to fraction form
    210.45/315.71 = 64.21/x
  3. Step 3: Cross multiply
    210.45x = 315.71 × 64.21
  4. Step 4: Simplify right side
    210.45x = 20,272.00
  5. Step 5: Solve for x
    x = 20,272.00/210.45
  6. Step 6: Final answer
    x = 96.33

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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.