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Finding the Fourth Proportional to 261.90, 393.64 and 175.52

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Solution

The fourth proportional to 261.90, 393.64 and 175.52 is: 263.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.90 : 393.64 = 175.52 : x
  2. Step 2: Convert to fraction form
    261.90/393.64 = 175.52/x
  3. Step 3: Cross multiply
    261.90x = 393.64 × 175.52
  4. Step 4: Simplify right side
    261.90x = 69,091.69
  5. Step 5: Solve for x
    x = 69,091.69/261.90
  6. Step 6: Final answer
    x = 263.81

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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.