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Finding the Fourth Proportional to 283.42, 424.77 and 153.47

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Solution

The fourth proportional to 283.42, 424.77 and 153.47 is: 230.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.42 : 424.77 = 153.47 : x
  2. Step 2: Convert to fraction form
    283.42/424.77 = 153.47/x
  3. Step 3: Cross multiply
    283.42x = 424.77 × 153.47
  4. Step 4: Simplify right side
    283.42x = 65,189.94
  5. Step 5: Solve for x
    x = 65,189.94/283.42
  6. Step 6: Final answer
    x = 230.01

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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.