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Finding the Fourth Proportional to 553.95, 830.90 and 188.71

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Solution

The fourth proportional to 553.95, 830.90 and 188.71 is: 283.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.95 : 830.90 = 188.71 : x
  2. Step 2: Convert to fraction form
    553.95/830.90 = 188.71/x
  3. Step 3: Cross multiply
    553.95x = 830.90 × 188.71
  4. Step 4: Simplify right side
    553.95x = 156,797.53
  5. Step 5: Solve for x
    x = 156,797.53/553.95
  6. Step 6: Final answer
    x = 283.05

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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.