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Finding the Fourth Proportional to 262.03, 361.58 and 145.60

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Solution

The fourth proportional to 262.03, 361.58 and 145.60 is: 200.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.03 : 361.58 = 145.60 : x
  2. Step 2: Convert to fraction form
    262.03/361.58 = 145.60/x
  3. Step 3: Cross multiply
    262.03x = 361.58 × 145.60
  4. Step 4: Simplify right side
    262.03x = 52,646.05
  5. Step 5: Solve for x
    x = 52,646.05/262.03
  6. Step 6: Final answer
    x = 200.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.