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Finding the Fourth Proportional to 265.24, 397.70 and 118.99

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Solution

The fourth proportional to 265.24, 397.70 and 118.99 is: 178.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.24 : 397.70 = 118.99 : x
  2. Step 2: Convert to fraction form
    265.24/397.70 = 118.99/x
  3. Step 3: Cross multiply
    265.24x = 397.70 × 118.99
  4. Step 4: Simplify right side
    265.24x = 47,319.74
  5. Step 5: Solve for x
    x = 47,319.74/265.24
  6. Step 6: Final answer
    x = 178.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.