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Finding the Fourth Proportional to 264.00, 364.24 and 153.41

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Solution

The fourth proportional to 264.00, 364.24 and 153.41 is: 211.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.00 : 364.24 = 153.41 : x
  2. Step 2: Convert to fraction form
    264.00/364.24 = 153.41/x
  3. Step 3: Cross multiply
    264.00x = 364.24 × 153.41
  4. Step 4: Simplify right side
    264.00x = 55,875.47
  5. Step 5: Solve for x
    x = 55,875.47/264.00
  6. Step 6: Final answer
    x = 211.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.