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Finding the Fourth Proportional to 214.98, 322.48 and 78.05

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Solution

The fourth proportional to 214.98, 322.48 and 78.05 is: 117.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.98 : 322.48 = 78.05 : x
  2. Step 2: Convert to fraction form
    214.98/322.48 = 78.05/x
  3. Step 3: Cross multiply
    214.98x = 322.48 × 78.05
  4. Step 4: Simplify right side
    214.98x = 25,170.47
  5. Step 5: Solve for x
    x = 25,170.47/214.98
  6. Step 6: Final answer
    x = 117.08

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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.