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Finding the Fourth Proportional to 346.78, 520.23 and 192.88

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Solution

The fourth proportional to 346.78, 520.23 and 192.88 is: 289.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.78 : 520.23 = 192.88 : x
  2. Step 2: Convert to fraction form
    346.78/520.23 = 192.88/x
  3. Step 3: Cross multiply
    346.78x = 520.23 × 192.88
  4. Step 4: Simplify right side
    346.78x = 100,341.96
  5. Step 5: Solve for x
    x = 100,341.96/346.78
  6. Step 6: Final answer
    x = 289.35

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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.