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Finding the Fourth Proportional to 214.16, 295.74 and 140.51

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Solution

The fourth proportional to 214.16, 295.74 and 140.51 is: 194.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.16 : 295.74 = 140.51 : x
  2. Step 2: Convert to fraction form
    214.16/295.74 = 140.51/x
  3. Step 3: Cross multiply
    214.16x = 295.74 × 140.51
  4. Step 4: Simplify right side
    214.16x = 41,555.17
  5. Step 5: Solve for x
    x = 41,555.17/214.16
  6. Step 6: Final answer
    x = 194.04

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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.