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Finding the Fourth Proportional to 264.77, 397.26 and 102.57

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Solution

The fourth proportional to 264.77, 397.26 and 102.57 is: 153.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.77 : 397.26 = 102.57 : x
  2. Step 2: Convert to fraction form
    264.77/397.26 = 102.57/x
  3. Step 3: Cross multiply
    264.77x = 397.26 × 102.57
  4. Step 4: Simplify right side
    264.77x = 40,746.96
  5. Step 5: Solve for x
    x = 40,746.96/264.77
  6. Step 6: Final answer
    x = 153.89

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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.