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Finding the Fourth Proportional to 214.30, 295.80 and 135.75

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Solution

The fourth proportional to 214.30, 295.80 and 135.75 is: 187.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.30 : 295.80 = 135.75 : x
  2. Step 2: Convert to fraction form
    214.30/295.80 = 135.75/x
  3. Step 3: Cross multiply
    214.30x = 295.80 × 135.75
  4. Step 4: Simplify right side
    214.30x = 40,155.38
  5. Step 5: Solve for x
    x = 40,155.38/214.30
  6. Step 6: Final answer
    x = 187.38

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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.