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Finding the Fourth Proportional to 337.08, 505.14 and 192.84

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Solution

The fourth proportional to 337.08, 505.14 and 192.84 is: 288.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    337.08 : 505.14 = 192.84 : x
  2. Step 2: Convert to fraction form
    337.08/505.14 = 192.84/x
  3. Step 3: Cross multiply
    337.08x = 505.14 × 192.84
  4. Step 4: Simplify right side
    337.08x = 97,411.20
  5. Step 5: Solve for x
    x = 97,411.20/337.08
  6. Step 6: Final answer
    x = 288.99

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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.