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Finding the Fourth Proportional to 214.94, 322.45 and 78.08

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Solution

The fourth proportional to 214.94, 322.45 and 78.08 is: 117.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.94 : 322.45 = 78.08 : x
  2. Step 2: Convert to fraction form
    214.94/322.45 = 78.08/x
  3. Step 3: Cross multiply
    214.94x = 322.45 × 78.08
  4. Step 4: Simplify right side
    214.94x = 25,175.09
  5. Step 5: Solve for x
    x = 25,175.09/214.94
  6. Step 6: Final answer
    x = 117.12

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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.