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Finding the Fourth Proportional to 361.84, 542.86 and 145.57

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Solution

The fourth proportional to 361.84, 542.86 and 145.57 is: 218.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.84 : 542.86 = 145.57 : x
  2. Step 2: Convert to fraction form
    361.84/542.86 = 145.57/x
  3. Step 3: Cross multiply
    361.84x = 542.86 × 145.57
  4. Step 4: Simplify right side
    361.84x = 79,024.31
  5. Step 5: Solve for x
    x = 79,024.31/361.84
  6. Step 6: Final answer
    x = 218.40

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Why These Related Problems?

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