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Finding the Fourth Proportional to 264.13, 364.53 and 256.06

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Solution

The fourth proportional to 264.13, 364.53 and 256.06 is: 353.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.13 : 364.53 = 256.06 : x
  2. Step 2: Convert to fraction form
    264.13/364.53 = 256.06/x
  3. Step 3: Cross multiply
    264.13x = 364.53 × 256.06
  4. Step 4: Simplify right side
    264.13x = 93,339.73
  5. Step 5: Solve for x
    x = 93,339.73/264.13
  6. Step 6: Final answer
    x = 353.39

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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.