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Finding the Fourth Proportional to 214.30, 295.40 and 170.56

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Solution

The fourth proportional to 214.30, 295.40 and 170.56 is: 235.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.30 : 295.40 = 170.56 : x
  2. Step 2: Convert to fraction form
    214.30/295.40 = 170.56/x
  3. Step 3: Cross multiply
    214.30x = 295.40 × 170.56
  4. Step 4: Simplify right side
    214.30x = 50,383.42
  5. Step 5: Solve for x
    x = 50,383.42/214.30
  6. Step 6: Final answer
    x = 235.11

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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.