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Finding the Fourth Proportional to 283.67, 424.89 and 175.13

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Solution

The fourth proportional to 283.67, 424.89 and 175.13 is: 262.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.67 : 424.89 = 175.13 : x
  2. Step 2: Convert to fraction form
    283.67/424.89 = 175.13/x
  3. Step 3: Cross multiply
    283.67x = 424.89 × 175.13
  4. Step 4: Simplify right side
    283.67x = 74,410.99
  5. Step 5: Solve for x
    x = 74,410.99/283.67
  6. Step 6: Final answer
    x = 262.32

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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.