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Finding the Fourth Proportional to 649.99, 975.14 and 187.80

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Solution

The fourth proportional to 649.99, 975.14 and 187.80 is: 281.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.99 : 975.14 = 187.80 : x
  2. Step 2: Convert to fraction form
    649.99/975.14 = 187.80/x
  3. Step 3: Cross multiply
    649.99x = 975.14 × 187.80
  4. Step 4: Simplify right side
    649.99x = 183,131.29
  5. Step 5: Solve for x
    x = 183,131.29/649.99
  6. Step 6: Final answer
    x = 281.75

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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.