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Finding the Fourth Proportional to 356.95, 535.38 and 161.86

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Solution

The fourth proportional to 356.95, 535.38 and 161.86 is: 242.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    356.95 : 535.38 = 161.86 : x
  2. Step 2: Convert to fraction form
    356.95/535.38 = 161.86/x
  3. Step 3: Cross multiply
    356.95x = 535.38 × 161.86
  4. Step 4: Simplify right side
    356.95x = 86,656.61
  5. Step 5: Solve for x
    x = 86,656.61/356.95
  6. Step 6: Final answer
    x = 242.77

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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.