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Finding the Fourth Proportional to 283.84, 426.16 and 175.32

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Solution

The fourth proportional to 283.84, 426.16 and 175.32 is: 263.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.84 : 426.16 = 175.32 : x
  2. Step 2: Convert to fraction form
    283.84/426.16 = 175.32/x
  3. Step 3: Cross multiply
    283.84x = 426.16 × 175.32
  4. Step 4: Simplify right side
    283.84x = 74,714.37
  5. Step 5: Solve for x
    x = 74,714.37/283.84
  6. Step 6: Final answer
    x = 263.23

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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.