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Finding the Fourth Proportional to 155.99, 234 and 117.47

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Solution

The fourth proportional to 155.99, 234 and 117.47 is: 176.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    155.99 : 234 = 117.47 : x
  2. Step 2: Convert to fraction form
    155.99/234 = 117.47/x
  3. Step 3: Cross multiply
    155.99x = 234 × 117.47
  4. Step 4: Simplify right side
    155.99x = 27,488.57
  5. Step 5: Solve for x
    x = 27,488.57/155.99
  6. Step 6: Final answer
    x = 176.22

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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.