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Finding the Fourth Proportional to 292.22, 437.99 and 109.50

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Solution

The fourth proportional to 292.22, 437.99 and 109.50 is: 164.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.22 : 437.99 = 109.50 : x
  2. Step 2: Convert to fraction form
    292.22/437.99 = 109.50/x
  3. Step 3: Cross multiply
    292.22x = 437.99 × 109.50
  4. Step 4: Simplify right side
    292.22x = 47,959.36
  5. Step 5: Solve for x
    x = 47,959.36/292.22
  6. Step 6: Final answer
    x = 164.12

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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.