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Finding the Fourth Proportional to 298.54, 448.14 and 177.04

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Solution

The fourth proportional to 298.54, 448.14 and 177.04 is: 265.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.54 : 448.14 = 177.04 : x
  2. Step 2: Convert to fraction form
    298.54/448.14 = 177.04/x
  3. Step 3: Cross multiply
    298.54x = 448.14 × 177.04
  4. Step 4: Simplify right side
    298.54x = 79,338.71
  5. Step 5: Solve for x
    x = 79,338.71/298.54
  6. Step 6: Final answer
    x = 265.76

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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.