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Finding the Fourth Proportional to 331.81, 497.66 and 88.28

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Solution

The fourth proportional to 331.81, 497.66 and 88.28 is: 132.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.81 : 497.66 = 88.28 : x
  2. Step 2: Convert to fraction form
    331.81/497.66 = 88.28/x
  3. Step 3: Cross multiply
    331.81x = 497.66 × 88.28
  4. Step 4: Simplify right side
    331.81x = 43,931.79
  5. Step 5: Solve for x
    x = 43,931.79/331.81
  6. Step 6: Final answer
    x = 132.40

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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.