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Finding the Fourth Proportional to 261.80, 361.24 and 156.86

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Solution

The fourth proportional to 261.80, 361.24 and 156.86 is: 216.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.80 : 361.24 = 156.86 : x
  2. Step 2: Convert to fraction form
    261.80/361.24 = 156.86/x
  3. Step 3: Cross multiply
    261.80x = 361.24 × 156.86
  4. Step 4: Simplify right side
    261.80x = 56,662.81
  5. Step 5: Solve for x
    x = 56,662.81/261.80
  6. Step 6: Final answer
    x = 216.44

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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.