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Finding the Fourth Proportional to 264.63, 398.43 and 183.99

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Solution

The fourth proportional to 264.63, 398.43 and 183.99 is: 277.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.63 : 398.43 = 183.99 : x
  2. Step 2: Convert to fraction form
    264.63/398.43 = 183.99/x
  3. Step 3: Cross multiply
    264.63x = 398.43 × 183.99
  4. Step 4: Simplify right side
    264.63x = 73,307.14
  5. Step 5: Solve for x
    x = 73,307.14/264.63
  6. Step 6: Final answer
    x = 277.02

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.