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Finding the Fourth Proportional to 375.10, 562.35 and 189.90

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Solution

The fourth proportional to 375.10, 562.35 and 189.90 is: 284.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    375.10 : 562.35 = 189.90 : x
  2. Step 2: Convert to fraction form
    375.10/562.35 = 189.90/x
  3. Step 3: Cross multiply
    375.10x = 562.35 × 189.90
  4. Step 4: Simplify right side
    375.10x = 106,791.22
  5. Step 5: Solve for x
    x = 106,791.22/375.10
  6. Step 6: Final answer
    x = 284.70

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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.