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Finding the Fourth Proportional to 375.60, 562.96 and 193.12

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Solution

The fourth proportional to 375.60, 562.96 and 193.12 is: 289.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    375.60 : 562.96 = 193.12 : x
  2. Step 2: Convert to fraction form
    375.60/562.96 = 193.12/x
  3. Step 3: Cross multiply
    375.60x = 562.96 × 193.12
  4. Step 4: Simplify right side
    375.60x = 108,718.84
  5. Step 5: Solve for x
    x = 108,718.84/375.60
  6. Step 6: Final answer
    x = 289.45

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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.