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Finding the Fourth Proportional to 375.65, 563.58 and 193.17

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Solution

The fourth proportional to 375.65, 563.58 and 193.17 is: 289.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    375.65 : 563.58 = 193.17 : x
  2. Step 2: Convert to fraction form
    375.65/563.58 = 193.17/x
  3. Step 3: Cross multiply
    375.65x = 563.58 × 193.17
  4. Step 4: Simplify right side
    375.65x = 108,866.75
  5. Step 5: Solve for x
    x = 108,866.75/375.65
  6. Step 6: Final answer
    x = 289.81

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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.