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Finding the Fourth Proportional to 214.38, 295.80 and 127.02

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Solution

The fourth proportional to 214.38, 295.80 and 127.02 is: 175.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.38 : 295.80 = 127.02 : x
  2. Step 2: Convert to fraction form
    214.38/295.80 = 127.02/x
  3. Step 3: Cross multiply
    214.38x = 295.80 × 127.02
  4. Step 4: Simplify right side
    214.38x = 37,572.52
  5. Step 5: Solve for x
    x = 37,572.52/214.38
  6. Step 6: Final answer
    x = 175.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.