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Finding the Fourth Proportional to 292.02, 402.63 and 236.58

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Solution

The fourth proportional to 292.02, 402.63 and 236.58 is: 326.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.02 : 402.63 = 236.58 : x
  2. Step 2: Convert to fraction form
    292.02/402.63 = 236.58/x
  3. Step 3: Cross multiply
    292.02x = 402.63 × 236.58
  4. Step 4: Simplify right side
    292.02x = 95,254.21
  5. Step 5: Solve for x
    x = 95,254.21/292.02
  6. Step 6: Final answer
    x = 326.19

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.