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Finding the Fourth Proportional to 289.76, 434.84 and 192.24

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Solution

The fourth proportional to 289.76, 434.84 and 192.24 is: 288.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.76 : 434.84 = 192.24 : x
  2. Step 2: Convert to fraction form
    289.76/434.84 = 192.24/x
  3. Step 3: Cross multiply
    289.76x = 434.84 × 192.24
  4. Step 4: Simplify right side
    289.76x = 83,593.64
  5. Step 5: Solve for x
    x = 83,593.64/289.76
  6. Step 6: Final answer
    x = 288.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.