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Finding the Fourth Proportional to 291.12, 435.76 and 193.42

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Solution

The fourth proportional to 291.12, 435.76 and 193.42 is: 289.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.12 : 435.76 = 193.42 : x
  2. Step 2: Convert to fraction form
    291.12/435.76 = 193.42/x
  3. Step 3: Cross multiply
    291.12x = 435.76 × 193.42
  4. Step 4: Simplify right side
    291.12x = 84,284.70
  5. Step 5: Solve for x
    x = 84,284.70/291.12
  6. Step 6: Final answer
    x = 289.52

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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.