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Finding the Fourth Proportional to 292.02, 401.26 and 233.70

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Solution

The fourth proportional to 292.02, 401.26 and 233.70 is: 321.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.02 : 401.26 = 233.70 : x
  2. Step 2: Convert to fraction form
    292.02/401.26 = 233.70/x
  3. Step 3: Cross multiply
    292.02x = 401.26 × 233.70
  4. Step 4: Simplify right side
    292.02x = 93,774.46
  5. Step 5: Solve for x
    x = 93,774.46/292.02
  6. Step 6: Final answer
    x = 321.12

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.