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Finding the Fourth Proportional to 283.08, 390.49 and 189.70

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Solution

The fourth proportional to 283.08, 390.49 and 189.70 is: 261.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.08 : 390.49 = 189.70 : x
  2. Step 2: Convert to fraction form
    283.08/390.49 = 189.70/x
  3. Step 3: Cross multiply
    283.08x = 390.49 × 189.70
  4. Step 4: Simplify right side
    283.08x = 74,075.95
  5. Step 5: Solve for x
    x = 74,075.95/283.08
  6. Step 6: Final answer
    x = 261.68

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.