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Finding the Fourth Proportional to 242.40, 361.02 and 233.90

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Solution

The fourth proportional to 242.40, 361.02 and 233.90 is: 348.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.40 : 361.02 = 233.90 : x
  2. Step 2: Convert to fraction form
    242.40/361.02 = 233.90/x
  3. Step 3: Cross multiply
    242.40x = 361.02 × 233.90
  4. Step 4: Simplify right side
    242.40x = 84,441.41
  5. Step 5: Solve for x
    x = 84,441.41/242.40
  6. Step 6: Final answer
    x = 348.36

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.