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Finding the Fourth Proportional to 214.04, 294.81 and 184.88

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Solution

The fourth proportional to 214.04, 294.81 and 184.88 is: 254.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.04 : 294.81 = 184.88 : x
  2. Step 2: Convert to fraction form
    214.04/294.81 = 184.88/x
  3. Step 3: Cross multiply
    214.04x = 294.81 × 184.88
  4. Step 4: Simplify right side
    214.04x = 54,504.47
  5. Step 5: Solve for x
    x = 54,504.47/214.04
  6. Step 6: Final answer
    x = 254.65

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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.