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Finding the Fourth Proportional to 261.71, 361.16 and 156.80

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Solution

The fourth proportional to 261.71, 361.16 and 156.80 is: 216.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.71 : 361.16 = 156.80 : x
  2. Step 2: Convert to fraction form
    261.71/361.16 = 156.80/x
  3. Step 3: Cross multiply
    261.71x = 361.16 × 156.80
  4. Step 4: Simplify right side
    261.71x = 56,629.89
  5. Step 5: Solve for x
    x = 56,629.89/261.71
  6. Step 6: Final answer
    x = 216.38

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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.