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Finding the Fourth Proportional to 253.63, 350.08 and 148.75

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Solution

The fourth proportional to 253.63, 350.08 and 148.75 is: 205.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.63 : 350.08 = 148.75 : x
  2. Step 2: Convert to fraction form
    253.63/350.08 = 148.75/x
  3. Step 3: Cross multiply
    253.63x = 350.08 × 148.75
  4. Step 4: Simplify right side
    253.63x = 52,074.40
  5. Step 5: Solve for x
    x = 52,074.40/253.63
  6. Step 6: Final answer
    x = 205.32

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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.