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Finding the Fourth Proportional to 553.34, 830.12 and 188.24

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Solution

The fourth proportional to 553.34, 830.12 and 188.24 is: 282.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.34 : 830.12 = 188.24 : x
  2. Step 2: Convert to fraction form
    553.34/830.12 = 188.24/x
  3. Step 3: Cross multiply
    553.34x = 830.12 × 188.24
  4. Step 4: Simplify right side
    553.34x = 156,256.70
  5. Step 5: Solve for x
    x = 156,256.70/553.34
  6. Step 6: Final answer
    x = 282.39

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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.