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Finding the Fourth Proportional to 214.68, 322.14 and 123.60

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Solution

The fourth proportional to 214.68, 322.14 and 123.60 is: 185.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.68 : 322.14 = 123.60 : x
  2. Step 2: Convert to fraction form
    214.68/322.14 = 123.60/x
  3. Step 3: Cross multiply
    214.68x = 322.14 × 123.60
  4. Step 4: Simplify right side
    214.68x = 39,816.50
  5. Step 5: Solve for x
    x = 39,816.50/214.68
  6. Step 6: Final answer
    x = 185.47

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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.