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Finding the Fourth Proportional to 330.72, 495.44 and 157.14

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Solution

The fourth proportional to 330.72, 495.44 and 157.14 is: 235.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.72 : 495.44 = 157.14 : x
  2. Step 2: Convert to fraction form
    330.72/495.44 = 157.14/x
  3. Step 3: Cross multiply
    330.72x = 495.44 × 157.14
  4. Step 4: Simplify right side
    330.72x = 77,852.66
  5. Step 5: Solve for x
    x = 77,852.66/330.72
  6. Step 6: Final answer
    x = 235.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.