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Finding the Fourth Proportional to 214.19, 295.56 and 120.93

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Solution

The fourth proportional to 214.19, 295.56 and 120.93 is: 166.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.19 : 295.56 = 120.93 : x
  2. Step 2: Convert to fraction form
    214.19/295.56 = 120.93/x
  3. Step 3: Cross multiply
    214.19x = 295.56 × 120.93
  4. Step 4: Simplify right side
    214.19x = 35,742.07
  5. Step 5: Solve for x
    x = 35,742.07/214.19
  6. Step 6: Final answer
    x = 166.87

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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.