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Finding the Fourth Proportional to 283.08, 390.66 and 165.06

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Solution

The fourth proportional to 283.08, 390.66 and 165.06 is: 227.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.08 : 390.66 = 165.06 : x
  2. Step 2: Convert to fraction form
    283.08/390.66 = 165.06/x
  3. Step 3: Cross multiply
    283.08x = 390.66 × 165.06
  4. Step 4: Simplify right side
    283.08x = 64,482.34
  5. Step 5: Solve for x
    x = 64,482.34/283.08
  6. Step 6: Final answer
    x = 227.79

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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.