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Finding the Fourth Proportional to 215.52, 322.98 and 164.01

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Solution

The fourth proportional to 215.52, 322.98 and 164.01 is: 245.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.52 : 322.98 = 164.01 : x
  2. Step 2: Convert to fraction form
    215.52/322.98 = 164.01/x
  3. Step 3: Cross multiply
    215.52x = 322.98 × 164.01
  4. Step 4: Simplify right side
    215.52x = 52,971.95
  5. Step 5: Solve for x
    x = 52,971.95/215.52
  6. Step 6: Final answer
    x = 245.79

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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.