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Finding the Fourth Proportional to 214.64, 296.22 and 149.30

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Solution

The fourth proportional to 214.64, 296.22 and 149.30 is: 206.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.64 : 296.22 = 149.30 : x
  2. Step 2: Convert to fraction form
    214.64/296.22 = 149.30/x
  3. Step 3: Cross multiply
    214.64x = 296.22 × 149.30
  4. Step 4: Simplify right side
    214.64x = 44,225.65
  5. Step 5: Solve for x
    x = 44,225.65/214.64
  6. Step 6: Final answer
    x = 206.05

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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.