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Finding the Fourth Proportional to 292.50, 403.65 and 189

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Solution

The fourth proportional to 292.50, 403.65 and 189 is: 260.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.50 : 403.65 = 189 : x
  2. Step 2: Convert to fraction form
    292.50/403.65 = 189/x
  3. Step 3: Cross multiply
    292.50x = 403.65 × 189
  4. Step 4: Simplify right side
    292.50x = 76,289.85
  5. Step 5: Solve for x
    x = 76,289.85/292.50
  6. Step 6: Final answer
    x = 260.82

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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.