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Finding the Fourth Proportional to 292.11, 438.06 and 109.50

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Solution

The fourth proportional to 292.11, 438.06 and 109.50 is: 164.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.11 : 438.06 = 109.50 : x
  2. Step 2: Convert to fraction form
    292.11/438.06 = 109.50/x
  3. Step 3: Cross multiply
    292.11x = 438.06 × 109.50
  4. Step 4: Simplify right side
    292.11x = 47,967.57
  5. Step 5: Solve for x
    x = 47,967.57/292.11
  6. Step 6: Final answer
    x = 164.21

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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.