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Finding the Fourth Proportional to 214.64, 296.09 and 135.81

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Solution

The fourth proportional to 214.64, 296.09 and 135.81 is: 187.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.64 : 296.09 = 135.81 : x
  2. Step 2: Convert to fraction form
    214.64/296.09 = 135.81/x
  3. Step 3: Cross multiply
    214.64x = 296.09 × 135.81
  4. Step 4: Simplify right side
    214.64x = 40,211.98
  5. Step 5: Solve for x
    x = 40,211.98/214.64
  6. Step 6: Final answer
    x = 187.35

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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.