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Finding the Fourth Proportional to 210.65, 315.89 and 66.34

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Solution

The fourth proportional to 210.65, 315.89 and 66.34 is: 99.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.65 : 315.89 = 66.34 : x
  2. Step 2: Convert to fraction form
    210.65/315.89 = 66.34/x
  3. Step 3: Cross multiply
    210.65x = 315.89 × 66.34
  4. Step 4: Simplify right side
    210.65x = 20,954.23
  5. Step 5: Solve for x
    x = 20,954.23/210.65
  6. Step 6: Final answer
    x = 99.47

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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.