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Finding the Fourth Proportional to 253.90, 350.35 and 148.99

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Solution

The fourth proportional to 253.90, 350.35 and 148.99 is: 205.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.90 : 350.35 = 148.99 : x
  2. Step 2: Convert to fraction form
    253.90/350.35 = 148.99/x
  3. Step 3: Cross multiply
    253.90x = 350.35 × 148.99
  4. Step 4: Simplify right side
    253.90x = 52,199.95
  5. Step 5: Solve for x
    x = 52,199.95/253.90
  6. Step 6: Final answer
    x = 205.59

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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.