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Finding the Fourth Proportional to 291.68, 436.80 and 189.04

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Solution

The fourth proportional to 291.68, 436.80 and 189.04 is: 283.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.68 : 436.80 = 189.04 : x
  2. Step 2: Convert to fraction form
    291.68/436.80 = 189.04/x
  3. Step 3: Cross multiply
    291.68x = 436.80 × 189.04
  4. Step 4: Simplify right side
    291.68x = 82,572.67
  5. Step 5: Solve for x
    x = 82,572.67/291.68
  6. Step 6: Final answer
    x = 283.09

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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.