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Finding the Fourth Proportional to 262.16, 361.76 and 145.74

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Solution

The fourth proportional to 262.16, 361.76 and 145.74 is: 201.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.16 : 361.76 = 145.74 : x
  2. Step 2: Convert to fraction form
    262.16/361.76 = 145.74/x
  3. Step 3: Cross multiply
    262.16x = 361.76 × 145.74
  4. Step 4: Simplify right side
    262.16x = 52,722.90
  5. Step 5: Solve for x
    x = 52,722.90/262.16
  6. Step 6: Final answer
    x = 201.11

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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.