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Finding the Fourth Proportional to 214.40, 295.59 and 140.58

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Solution

The fourth proportional to 214.40, 295.59 and 140.58 is: 193.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.40 : 295.59 = 140.58 : x
  2. Step 2: Convert to fraction form
    214.40/295.59 = 140.58/x
  3. Step 3: Cross multiply
    214.40x = 295.59 × 140.58
  4. Step 4: Simplify right side
    214.40x = 41,554.78
  5. Step 5: Solve for x
    x = 41,554.78/214.40
  6. Step 6: Final answer
    x = 193.82

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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.