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Finding the Fourth Proportional to 292.39, 438.46 and 119.02

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Solution

The fourth proportional to 292.39, 438.46 and 119.02 is: 178.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.39 : 438.46 = 119.02 : x
  2. Step 2: Convert to fraction form
    292.39/438.46 = 119.02/x
  3. Step 3: Cross multiply
    292.39x = 438.46 × 119.02
  4. Step 4: Simplify right side
    292.39x = 52,185.51
  5. Step 5: Solve for x
    x = 52,185.51/292.39
  6. Step 6: Final answer
    x = 178.48

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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.