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Finding the Fourth Proportional to 214.12, 294.60 and 184.42

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Solution

The fourth proportional to 214.12, 294.60 and 184.42 is: 253.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.12 : 294.60 = 184.42 : x
  2. Step 2: Convert to fraction form
    214.12/294.60 = 184.42/x
  3. Step 3: Cross multiply
    214.12x = 294.60 × 184.42
  4. Step 4: Simplify right side
    214.12x = 54,330.13
  5. Step 5: Solve for x
    x = 54,330.13/214.12
  6. Step 6: Final answer
    x = 253.74

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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.