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Finding the Fourth Proportional to 214.13, 295.69 and 135.59

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Solution

The fourth proportional to 214.13, 295.69 and 135.59 is: 187.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.13 : 295.69 = 135.59 : x
  2. Step 2: Convert to fraction form
    214.13/295.69 = 135.59/x
  3. Step 3: Cross multiply
    214.13x = 295.69 × 135.59
  4. Step 4: Simplify right side
    214.13x = 40,093.01
  5. Step 5: Solve for x
    x = 40,093.01/214.13
  6. Step 6: Final answer
    x = 187.23

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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.