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Finding the Fourth Proportional to 375.42, 562.83 and 170.10

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Solution

The fourth proportional to 375.42, 562.83 and 170.10 is: 255.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    375.42 : 562.83 = 170.10 : x
  2. Step 2: Convert to fraction form
    375.42/562.83 = 170.10/x
  3. Step 3: Cross multiply
    375.42x = 562.83 × 170.10
  4. Step 4: Simplify right side
    375.42x = 95,737.38
  5. Step 5: Solve for x
    x = 95,737.38/375.42
  6. Step 6: Final answer
    x = 255.01

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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.