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Finding the Fourth Proportional to 264.51, 396.09 and 210.24

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Solution

The fourth proportional to 264.51, 396.09 and 210.24 is: 314.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.51 : 396.09 = 210.24 : x
  2. Step 2: Convert to fraction form
    264.51/396.09 = 210.24/x
  3. Step 3: Cross multiply
    264.51x = 396.09 × 210.24
  4. Step 4: Simplify right side
    264.51x = 83,273.96
  5. Step 5: Solve for x
    x = 83,273.96/264.51
  6. Step 6: Final answer
    x = 314.82

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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.