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Finding the Fourth Proportional to 253.43, 347.55 and 242.91

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Solution

The fourth proportional to 253.43, 347.55 and 242.91 is: 333.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.43 : 347.55 = 242.91 : x
  2. Step 2: Convert to fraction form
    253.43/347.55 = 242.91/x
  3. Step 3: Cross multiply
    253.43x = 347.55 × 242.91
  4. Step 4: Simplify right side
    253.43x = 84,420.42
  5. Step 5: Solve for x
    x = 84,420.42/253.43
  6. Step 6: Final answer
    x = 333.12

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.