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Finding the Fourth Proportional to 361.84, 542.80 and 145.36

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Solution

The fourth proportional to 361.84, 542.80 and 145.36 is: 218.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.84 : 542.80 = 145.36 : x
  2. Step 2: Convert to fraction form
    361.84/542.80 = 145.36/x
  3. Step 3: Cross multiply
    361.84x = 542.80 × 145.36
  4. Step 4: Simplify right side
    361.84x = 78,901.41
  5. Step 5: Solve for x
    x = 78,901.41/361.84
  6. Step 6: Final answer
    x = 218.06

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.