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Finding the Fourth Proportional to 291.69, 402.33 and 186.81

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Solution

The fourth proportional to 291.69, 402.33 and 186.81 is: 257.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.69 : 402.33 = 186.81 : x
  2. Step 2: Convert to fraction form
    291.69/402.33 = 186.81/x
  3. Step 3: Cross multiply
    291.69x = 402.33 × 186.81
  4. Step 4: Simplify right side
    291.69x = 75,159.27
  5. Step 5: Solve for x
    x = 75,159.27/291.69
  6. Step 6: Final answer
    x = 257.67

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Why These Related Problems?

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