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Finding the Fourth Proportional to 265.30, 398.07 and 119.08

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Solution

The fourth proportional to 265.30, 398.07 and 119.08 is: 178.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.30 : 398.07 = 119.08 : x
  2. Step 2: Convert to fraction form
    265.30/398.07 = 119.08/x
  3. Step 3: Cross multiply
    265.30x = 398.07 × 119.08
  4. Step 4: Simplify right side
    265.30x = 47,402.18
  5. Step 5: Solve for x
    x = 47,402.18/265.30
  6. Step 6: Final answer
    x = 178.67

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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.