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Finding the Fourth Proportional to 214.16, 295.56 and 135.47

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Solution

The fourth proportional to 214.16, 295.56 and 135.47 is: 186.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.16 : 295.56 = 135.47 : x
  2. Step 2: Convert to fraction form
    214.16/295.56 = 135.47/x
  3. Step 3: Cross multiply
    214.16x = 295.56 × 135.47
  4. Step 4: Simplify right side
    214.16x = 40,040.25
  5. Step 5: Solve for x
    x = 40,040.25/214.16
  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.