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Finding the Fourth Proportional to 354.32, 532.70 and 192.32

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Solution

The fourth proportional to 354.32, 532.70 and 192.32 is: 289.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.32 : 532.70 = 192.32 : x
  2. Step 2: Convert to fraction form
    354.32/532.70 = 192.32/x
  3. Step 3: Cross multiply
    354.32x = 532.70 × 192.32
  4. Step 4: Simplify right side
    354.32x = 102,448.86
  5. Step 5: Solve for x
    x = 102,448.86/354.32
  6. Step 6: Final answer
    x = 289.14

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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.