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Finding the Fourth Proportional to 336.42, 504.54 and 192.06

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Solution

The fourth proportional to 336.42, 504.54 and 192.06 is: 288.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    336.42 : 504.54 = 192.06 : x
  2. Step 2: Convert to fraction form
    336.42/504.54 = 192.06/x
  3. Step 3: Cross multiply
    336.42x = 504.54 × 192.06
  4. Step 4: Simplify right side
    336.42x = 96,901.95
  5. Step 5: Solve for x
    x = 96,901.95/336.42
  6. Step 6: Final answer
    x = 288.04

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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.