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Finding the Fourth Proportional to 500.67, 750.98 and 154.00

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Solution

The fourth proportional to 500.67, 750.98 and 154.00 is: 230.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.67 : 750.98 = 154.00 : x
  2. Step 2: Convert to fraction form
    500.67/750.98 = 154.00/x
  3. Step 3: Cross multiply
    500.67x = 750.98 × 154.00
  4. Step 4: Simplify right side
    500.67x = 115,649.43
  5. Step 5: Solve for x
    x = 115,649.43/500.67
  6. Step 6: Final answer
    x = 230.99

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.