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Finding the Fourth Proportional to 348.99, 523.54 and 117.82

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Solution

The fourth proportional to 348.99, 523.54 and 117.82 is: 176.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    348.99 : 523.54 = 117.82 : x
  2. Step 2: Convert to fraction form
    348.99/523.54 = 117.82/x
  3. Step 3: Cross multiply
    348.99x = 523.54 × 117.82
  4. Step 4: Simplify right side
    348.99x = 61,684.60
  5. Step 5: Solve for x
    x = 61,684.60/348.99
  6. Step 6: Final answer
    x = 176.75

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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.