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Finding the Fourth Proportional to 245, 337.88 and 162.04

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Solution

The fourth proportional to 245, 337.88 and 162.04 is: 223.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    245 : 337.88 = 162.04 : x
  2. Step 2: Convert to fraction form
    245/337.88 = 162.04/x
  3. Step 3: Cross multiply
    245x = 337.88 × 162.04
  4. Step 4: Simplify right side
    245x = 54,750.08
  5. Step 5: Solve for x
    x = 54,750.08/245
  6. Step 6: Final answer
    x = 223.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.