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Finding the Fourth Proportional to 292.05, 438.02 and 109.40

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Solution

The fourth proportional to 292.05, 438.02 and 109.40 is: 164.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.05 : 438.02 = 109.40 : x
  2. Step 2: Convert to fraction form
    292.05/438.02 = 109.40/x
  3. Step 3: Cross multiply
    292.05x = 438.02 × 109.40
  4. Step 4: Simplify right side
    292.05x = 47,919.39
  5. Step 5: Solve for x
    x = 47,919.39/292.05
  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.