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Finding the Fourth Proportional to 291.47, 437.04 and 188.79

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Solution

The fourth proportional to 291.47, 437.04 and 188.79 is: 283.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.47 : 437.04 = 188.79 : x
  2. Step 2: Convert to fraction form
    291.47/437.04 = 188.79/x
  3. Step 3: Cross multiply
    291.47x = 437.04 × 188.79
  4. Step 4: Simplify right side
    291.47x = 82,508.78
  5. Step 5: Solve for x
    x = 82,508.78/291.47
  6. Step 6: Final answer
    x = 283.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.