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Finding the Fourth Proportional to 289.84, 399.84 and 186.40

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Solution

The fourth proportional to 289.84, 399.84 and 186.40 is: 257.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.84 : 399.84 = 186.40 : x
  2. Step 2: Convert to fraction form
    289.84/399.84 = 186.40/x
  3. Step 3: Cross multiply
    289.84x = 399.84 × 186.40
  4. Step 4: Simplify right side
    289.84x = 74,530.18
  5. Step 5: Solve for x
    x = 74,530.18/289.84
  6. Step 6: Final answer
    x = 257.14

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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.