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Finding the Fourth Proportional to 292.94, 402.02 and 265.25

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Solution

The fourth proportional to 292.94, 402.02 and 265.25 is: 364.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.94 : 402.02 = 265.25 : x
  2. Step 2: Convert to fraction form
    292.94/402.02 = 265.25/x
  3. Step 3: Cross multiply
    292.94x = 402.02 × 265.25
  4. Step 4: Simplify right side
    292.94x = 106,633.96
  5. Step 5: Solve for x
    x = 106,633.96/292.94
  6. Step 6: Final answer
    x = 364.02

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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.