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Finding the Fourth Proportional to 291.92, 438.06 and 109.34

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Solution

The fourth proportional to 291.92, 438.06 and 109.34 is: 164.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.92 : 438.06 = 109.34 : x
  2. Step 2: Convert to fraction form
    291.92/438.06 = 109.34/x
  3. Step 3: Cross multiply
    291.92x = 438.06 × 109.34
  4. Step 4: Simplify right side
    291.92x = 47,897.48
  5. Step 5: Solve for x
    x = 47,897.48/291.92
  6. Step 6: Final answer
    x = 164.08

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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.