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Finding the Fourth Proportional to 294.64, 406.53 and 189.76

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Solution

The fourth proportional to 294.64, 406.53 and 189.76 is: 261.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.64 : 406.53 = 189.76 : x
  2. Step 2: Convert to fraction form
    294.64/406.53 = 189.76/x
  3. Step 3: Cross multiply
    294.64x = 406.53 × 189.76
  4. Step 4: Simplify right side
    294.64x = 77,142.12
  5. Step 5: Solve for x
    x = 77,142.12/294.64
  6. Step 6: Final answer
    x = 261.82

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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.