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Finding the Fourth Proportional to 214.32, 295.68 and 135.62

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Solution

The fourth proportional to 214.32, 295.68 and 135.62 is: 187.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.32 : 295.68 = 135.62 : x
  2. Step 2: Convert to fraction form
    214.32/295.68 = 135.62/x
  3. Step 3: Cross multiply
    214.32x = 295.68 × 135.62
  4. Step 4: Simplify right side
    214.32x = 40,100.12
  5. Step 5: Solve for x
    x = 40,100.12/214.32
  6. Step 6: Final answer
    x = 187.10

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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.