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Finding the Fourth Proportional to 214.16, 295.53 and 120.91

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Solution

The fourth proportional to 214.16, 295.53 and 120.91 is: 166.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.16 : 295.53 = 120.91 : x
  2. Step 2: Convert to fraction form
    214.16/295.53 = 120.91/x
  3. Step 3: Cross multiply
    214.16x = 295.53 × 120.91
  4. Step 4: Simplify right side
    214.16x = 35,732.53
  5. Step 5: Solve for x
    x = 35,732.53/214.16
  6. Step 6: Final answer
    x = 166.85

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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.