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Finding the Fourth Proportional to 214.29, 294.93 and 182.70

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Solution

The fourth proportional to 214.29, 294.93 and 182.70 is: 251.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.29 : 294.93 = 182.70 : x
  2. Step 2: Convert to fraction form
    214.29/294.93 = 182.70/x
  3. Step 3: Cross multiply
    214.29x = 294.93 × 182.70
  4. Step 4: Simplify right side
    214.29x = 53,883.71
  5. Step 5: Solve for x
    x = 53,883.71/214.29
  6. Step 6: Final answer
    x = 251.45

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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.