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Finding the Fourth Proportional to 283.24, 390.91 and 158.93

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Solution

The fourth proportional to 283.24, 390.91 and 158.93 is: 219.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.24 : 390.91 = 158.93 : x
  2. Step 2: Convert to fraction form
    283.24/390.91 = 158.93/x
  3. Step 3: Cross multiply
    283.24x = 390.91 × 158.93
  4. Step 4: Simplify right side
    283.24x = 62,127.33
  5. Step 5: Solve for x
    x = 62,127.33/283.24
  6. Step 6: Final answer
    x = 219.35

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.