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Finding the Fourth Proportional to 283.04, 424.99 and 175.51

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Solution

The fourth proportional to 283.04, 424.99 and 175.51 is: 263.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.04 : 424.99 = 175.51 : x
  2. Step 2: Convert to fraction form
    283.04/424.99 = 175.51/x
  3. Step 3: Cross multiply
    283.04x = 424.99 × 175.51
  4. Step 4: Simplify right side
    283.04x = 74,587.87
  5. Step 5: Solve for x
    x = 74,587.87/283.04
  6. Step 6: Final answer
    x = 263.53

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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.