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Finding the Fourth Proportional to 253.52, 349.90 and 155.35

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Solution

The fourth proportional to 253.52, 349.90 and 155.35 is: 214.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.52 : 349.90 = 155.35 : x
  2. Step 2: Convert to fraction form
    253.52/349.90 = 155.35/x
  3. Step 3: Cross multiply
    253.52x = 349.90 × 155.35
  4. Step 4: Simplify right side
    253.52x = 54,355.22
  5. Step 5: Solve for x
    x = 54,355.22/253.52
  6. Step 6: Final answer
    x = 214.41

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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.