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Finding the Fourth Proportional to 214.24, 295.50 and 148.76

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Solution

The fourth proportional to 214.24, 295.50 and 148.76 is: 205.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.24 : 295.50 = 148.76 : x
  2. Step 2: Convert to fraction form
    214.24/295.50 = 148.76/x
  3. Step 3: Cross multiply
    214.24x = 295.50 × 148.76
  4. Step 4: Simplify right side
    214.24x = 43,958.58
  5. Step 5: Solve for x
    x = 43,958.58/214.24
  6. Step 6: Final answer
    x = 205.18

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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.