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Finding the Fourth Proportional to 214.33, 295.77 and 121.07

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Solution

The fourth proportional to 214.33, 295.77 and 121.07 is: 167.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.33 : 295.77 = 121.07 : x
  2. Step 2: Convert to fraction form
    214.33/295.77 = 121.07/x
  3. Step 3: Cross multiply
    214.33x = 295.77 × 121.07
  4. Step 4: Simplify right side
    214.33x = 35,808.87
  5. Step 5: Solve for x
    x = 35,808.87/214.33
  6. Step 6: Final answer
    x = 167.08

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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.