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Finding the Fourth Proportional to 299.58, 448.65 and 184.08

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Solution

The fourth proportional to 299.58, 448.65 and 184.08 is: 275.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.58 : 448.65 = 184.08 : x
  2. Step 2: Convert to fraction form
    299.58/448.65 = 184.08/x
  3. Step 3: Cross multiply
    299.58x = 448.65 × 184.08
  4. Step 4: Simplify right side
    299.58x = 82,587.49
  5. Step 5: Solve for x
    x = 82,587.49/299.58
  6. Step 6: Final answer
    x = 275.68

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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.