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Finding the Fourth Proportional to 214.42, 295.88 and 121.16

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Solution

The fourth proportional to 214.42, 295.88 and 121.16 is: 167.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.42 : 295.88 = 121.16 : x
  2. Step 2: Convert to fraction form
    214.42/295.88 = 121.16/x
  3. Step 3: Cross multiply
    214.42x = 295.88 × 121.16
  4. Step 4: Simplify right side
    214.42x = 35,848.82
  5. Step 5: Solve for x
    x = 35,848.82/214.42
  6. Step 6: Final answer
    x = 167.19

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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.