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Finding the Fourth Proportional to 292.01, 437.74 and 109.52

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Solution

The fourth proportional to 292.01, 437.74 and 109.52 is: 164.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.01 : 437.74 = 109.52 : x
  2. Step 2: Convert to fraction form
    292.01/437.74 = 109.52/x
  3. Step 3: Cross multiply
    292.01x = 437.74 × 109.52
  4. Step 4: Simplify right side
    292.01x = 47,941.97
  5. Step 5: Solve for x
    x = 47,941.97/292.01
  6. Step 6: Final answer
    x = 164.18

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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.