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Finding the Fourth Proportional to 553.62, 830.19 and 188.31

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Solution

The fourth proportional to 553.62, 830.19 and 188.31 is: 282.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.62 : 830.19 = 188.31 : x
  2. Step 2: Convert to fraction form
    553.62/830.19 = 188.31/x
  3. Step 3: Cross multiply
    553.62x = 830.19 × 188.31
  4. Step 4: Simplify right side
    553.62x = 156,333.08
  5. Step 5: Solve for x
    x = 156,333.08/553.62
  6. Step 6: Final answer
    x = 282.38

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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.