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Finding the Fourth Proportional to 292.06, 438.14 and 109.48

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Solution

The fourth proportional to 292.06, 438.14 and 109.48 is: 164.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.06 : 438.14 = 109.48 : x
  2. Step 2: Convert to fraction form
    292.06/438.14 = 109.48/x
  3. Step 3: Cross multiply
    292.06x = 438.14 × 109.48
  4. Step 4: Simplify right side
    292.06x = 47,967.57
  5. Step 5: Solve for x
    x = 47,967.57/292.06
  6. Step 6: Final answer
    x = 164.24

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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.