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Finding the Fourth Proportional to 289.90, 400.08 and 177.76

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Solution

The fourth proportional to 289.90, 400.08 and 177.76 is: 245.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.90 : 400.08 = 177.76 : x
  2. Step 2: Convert to fraction form
    289.90/400.08 = 177.76/x
  3. Step 3: Cross multiply
    289.90x = 400.08 × 177.76
  4. Step 4: Simplify right side
    289.90x = 71,118.22
  5. Step 5: Solve for x
    x = 71,118.22/289.90
  6. Step 6: Final answer
    x = 245.32

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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.