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Finding the Fourth Proportional to 553.98, 830.97 and 188.77

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Solution

The fourth proportional to 553.98, 830.97 and 188.77 is: 283.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.98 : 830.97 = 188.77 : x
  2. Step 2: Convert to fraction form
    553.98/830.97 = 188.77/x
  3. Step 3: Cross multiply
    553.98x = 830.97 × 188.77
  4. Step 4: Simplify right side
    553.98x = 156,862.21
  5. Step 5: Solve for x
    x = 156,862.21/553.98
  6. Step 6: Final answer
    x = 283.16

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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.