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Finding the Fourth Proportional to 291.81, 438.09 and 188.82

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Solution

The fourth proportional to 291.81, 438.09 and 188.82 is: 283.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.81 : 438.09 = 188.82 : x
  2. Step 2: Convert to fraction form
    291.81/438.09 = 188.82/x
  3. Step 3: Cross multiply
    291.81x = 438.09 × 188.82
  4. Step 4: Simplify right side
    291.81x = 82,720.15
  5. Step 5: Solve for x
    x = 82,720.15/291.81
  6. Step 6: Final answer
    x = 283.47

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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.