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Finding the Fourth Proportional to 298.83, 448.10 and 177.06

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Solution

The fourth proportional to 298.83, 448.10 and 177.06 is: 265.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.83 : 448.10 = 177.06 : x
  2. Step 2: Convert to fraction form
    298.83/448.10 = 177.06/x
  3. Step 3: Cross multiply
    298.83x = 448.10 × 177.06
  4. Step 4: Simplify right side
    298.83x = 79,339.70
  5. Step 5: Solve for x
    x = 79,339.70/298.83
  6. Step 6: Final answer
    x = 265.50

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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.