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Finding the Fourth Proportional to 553.42, 830.23 and 188.20

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Solution

The fourth proportional to 553.42, 830.23 and 188.20 is: 282.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.42 : 830.23 = 188.20 : x
  2. Step 2: Convert to fraction form
    553.42/830.23 = 188.20/x
  3. Step 3: Cross multiply
    553.42x = 830.23 × 188.20
  4. Step 4: Simplify right side
    553.42x = 156,246.24
  5. Step 5: Solve for x
    x = 156,246.24/553.42
  6. Step 6: Final answer
    x = 282.33

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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.