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Finding the Fourth Proportional to 292.10, 438.14 and 109.46

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Solution

The fourth proportional to 292.10, 438.14 and 109.46 is: 164.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.10 : 438.14 = 109.46 : x
  2. Step 2: Convert to fraction form
    292.10/438.14 = 109.46/x
  3. Step 3: Cross multiply
    292.10x = 438.14 × 109.46
  4. Step 4: Simplify right side
    292.10x = 47,960.17
  5. Step 5: Solve for x
    x = 47,960.17/292.10
  6. Step 6: Final answer
    x = 164.19

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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.