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Finding the Fourth Proportional to 375.88, 563.77 and 101.99

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Solution

The fourth proportional to 375.88, 563.77 and 101.99 is: 152.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    375.88 : 563.77 = 101.99 : x
  2. Step 2: Convert to fraction form
    375.88/563.77 = 101.99/x
  3. Step 3: Cross multiply
    375.88x = 563.77 × 101.99
  4. Step 4: Simplify right side
    375.88x = 57,498.90
  5. Step 5: Solve for x
    x = 57,498.90/375.88
  6. Step 6: Final answer
    x = 152.97

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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.