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Finding the Fourth Proportional to 214.20, 295.58 and 135.50

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Solution

The fourth proportional to 214.20, 295.58 and 135.50 is: 186.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.20 : 295.58 = 135.50 : x
  2. Step 2: Convert to fraction form
    214.20/295.58 = 135.50/x
  3. Step 3: Cross multiply
    214.20x = 295.58 × 135.50
  4. Step 4: Simplify right side
    214.20x = 40,049.95
  5. Step 5: Solve for x
    x = 40,049.95/214.20
  6. Step 6: Final answer
    x = 186.97

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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.