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Finding the Fourth Proportional to 262.02, 361.76 and 235.72

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Solution

The fourth proportional to 262.02, 361.76 and 235.72 is: 325.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.02 : 361.76 = 235.72 : x
  2. Step 2: Convert to fraction form
    262.02/361.76 = 235.72/x
  3. Step 3: Cross multiply
    262.02x = 361.76 × 235.72
  4. Step 4: Simplify right side
    262.02x = 85,274.07
  5. Step 5: Solve for x
    x = 85,274.07/262.02
  6. Step 6: Final answer
    x = 325.45

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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.