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Finding the Fourth Proportional to 283.10, 390.65 and 165.08

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Solution

The fourth proportional to 283.10, 390.65 and 165.08 is: 227.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.10 : 390.65 = 165.08 : x
  2. Step 2: Convert to fraction form
    283.10/390.65 = 165.08/x
  3. Step 3: Cross multiply
    283.10x = 390.65 × 165.08
  4. Step 4: Simplify right side
    283.10x = 64,488.65
  5. Step 5: Solve for x
    x = 64,488.65/283.10
  6. Step 6: Final answer
    x = 227.80

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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.