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Finding the Fourth Proportional to 214.18, 295.56 and 126.82

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Solution

The fourth proportional to 214.18, 295.56 and 126.82 is: 175.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.18 : 295.56 = 126.82 : x
  2. Step 2: Convert to fraction form
    214.18/295.56 = 126.82/x
  3. Step 3: Cross multiply
    214.18x = 295.56 × 126.82
  4. Step 4: Simplify right side
    214.18x = 37,482.92
  5. Step 5: Solve for x
    x = 37,482.92/214.18
  6. Step 6: Final answer
    x = 175.01

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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.