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Finding the Fourth Proportional to 292.07, 438.15 and 109.41

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Solution

The fourth proportional to 292.07, 438.15 and 109.41 is: 164.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.07 : 438.15 = 109.41 : x
  2. Step 2: Convert to fraction form
    292.07/438.15 = 109.41/x
  3. Step 3: Cross multiply
    292.07x = 438.15 × 109.41
  4. Step 4: Simplify right side
    292.07x = 47,937.99
  5. Step 5: Solve for x
    x = 47,937.99/292.07
  6. Step 6: Final answer
    x = 164.13

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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.