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Finding the Fourth Proportional to 261.93, 392.95 and 175.06

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Solution

The fourth proportional to 261.93, 392.95 and 175.06 is: 262.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.93 : 392.95 = 175.06 : x
  2. Step 2: Convert to fraction form
    261.93/392.95 = 175.06/x
  3. Step 3: Cross multiply
    261.93x = 392.95 × 175.06
  4. Step 4: Simplify right side
    261.93x = 68,790.54
  5. Step 5: Solve for x
    x = 68,790.54/261.93
  6. Step 6: Final answer
    x = 262.63

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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.