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Finding the Fourth Proportional to 210.32, 315.79 and 165.22

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Solution

The fourth proportional to 210.32, 315.79 and 165.22 is: 248.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.32 : 315.79 = 165.22 : x
  2. Step 2: Convert to fraction form
    210.32/315.79 = 165.22/x
  3. Step 3: Cross multiply
    210.32x = 315.79 × 165.22
  4. Step 4: Simplify right side
    210.32x = 52,174.82
  5. Step 5: Solve for x
    x = 52,174.82/210.32
  6. Step 6: Final answer
    x = 248.07

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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.