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Finding the Fourth Proportional to 253.02, 349.15 and 149.50

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Solution

The fourth proportional to 253.02, 349.15 and 149.50 is: 206.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.02 : 349.15 = 149.50 : x
  2. Step 2: Convert to fraction form
    253.02/349.15 = 149.50/x
  3. Step 3: Cross multiply
    253.02x = 349.15 × 149.50
  4. Step 4: Simplify right side
    253.02x = 52,197.93
  5. Step 5: Solve for x
    x = 52,197.93/253.02
  6. Step 6: Final answer
    x = 206.30

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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.