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Finding the Fourth Proportional to 292.77, 403.65 and 187.67

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Solution

The fourth proportional to 292.77, 403.65 and 187.67 is: 258.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.77 : 403.65 = 187.67 : x
  2. Step 2: Convert to fraction form
    292.77/403.65 = 187.67/x
  3. Step 3: Cross multiply
    292.77x = 403.65 × 187.67
  4. Step 4: Simplify right side
    292.77x = 75,750.27
  5. Step 5: Solve for x
    x = 75,750.27/292.77
  6. Step 6: Final answer
    x = 258.74

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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.