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Finding the Fourth Proportional to 891.30, 1,337.02 and 242

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Solution

The fourth proportional to 891.30, 1,337.02 and 242 is: 363.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    891.30 : 1,337.02 = 242 : x
  2. Step 2: Convert to fraction form
    891.30/1,337.02 = 242/x
  3. Step 3: Cross multiply
    891.30x = 1,337.02 × 242
  4. Step 4: Simplify right side
    891.30x = 323,558.84
  5. Step 5: Solve for x
    x = 323,558.84/891.30
  6. Step 6: Final answer
    x = 363.02

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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.