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Finding the Fourth Proportional to 214.69, 296.37 and 148.37

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Solution

The fourth proportional to 214.69, 296.37 and 148.37 is: 204.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.69 : 296.37 = 148.37 : x
  2. Step 2: Convert to fraction form
    214.69/296.37 = 148.37/x
  3. Step 3: Cross multiply
    214.69x = 296.37 × 148.37
  4. Step 4: Simplify right side
    214.69x = 43,972.42
  5. Step 5: Solve for x
    x = 43,972.42/214.69
  6. Step 6: Final answer
    x = 204.82

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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.