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Finding the Fourth Proportional to 214.62, 296.38 and 156.30

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Solution

The fourth proportional to 214.62, 296.38 and 156.30 is: 215.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.62 : 296.38 = 156.30 : x
  2. Step 2: Convert to fraction form
    214.62/296.38 = 156.30/x
  3. Step 3: Cross multiply
    214.62x = 296.38 × 156.30
  4. Step 4: Simplify right side
    214.62x = 46,324.19
  5. Step 5: Solve for x
    x = 46,324.19/214.62
  6. Step 6: Final answer
    x = 215.84

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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.