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Finding the Fourth Proportional to 361.64, 542.60 and 145.40

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Solution

The fourth proportional to 361.64, 542.60 and 145.40 is: 218.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.64 : 542.60 = 145.40 : x
  2. Step 2: Convert to fraction form
    361.64/542.60 = 145.40/x
  3. Step 3: Cross multiply
    361.64x = 542.60 × 145.40
  4. Step 4: Simplify right side
    361.64x = 78,894.04
  5. Step 5: Solve for x
    x = 78,894.04/361.64
  6. Step 6: Final answer
    x = 218.16

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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.