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Finding the Fourth Proportional to 214.44, 322.08 and 123.32

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Solution

The fourth proportional to 214.44, 322.08 and 123.32 is: 185.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.44 : 322.08 = 123.32 : x
  2. Step 2: Convert to fraction form
    214.44/322.08 = 123.32/x
  3. Step 3: Cross multiply
    214.44x = 322.08 × 123.32
  4. Step 4: Simplify right side
    214.44x = 39,718.91
  5. Step 5: Solve for x
    x = 39,718.91/214.44
  6. Step 6: Final answer
    x = 185.22

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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.