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Finding the Fourth Proportional to 292.02, 438.22 and 109.40

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Solution

The fourth proportional to 292.02, 438.22 and 109.40 is: 164.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.02 : 438.22 = 109.40 : x
  2. Step 2: Convert to fraction form
    292.02/438.22 = 109.40/x
  3. Step 3: Cross multiply
    292.02x = 438.22 × 109.40
  4. Step 4: Simplify right side
    292.02x = 47,942.09
  5. Step 5: Solve for x
    x = 47,942.09/292.02
  6. Step 6: Final answer
    x = 164.17

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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.