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Finding the Fourth Proportional to 508.55, 762.83 and 123.80

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Solution

The fourth proportional to 508.55, 762.83 and 123.80 is: 185.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.55 : 762.83 = 123.80 : x
  2. Step 2: Convert to fraction form
    508.55/762.83 = 123.80/x
  3. Step 3: Cross multiply
    508.55x = 762.83 × 123.80
  4. Step 4: Simplify right side
    508.55x = 94,438.35
  5. Step 5: Solve for x
    x = 94,438.35/508.55
  6. Step 6: Final answer
    x = 185.70

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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.