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Finding the Fourth Proportional to 264.99, 397.47 and 102.66

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Solution

The fourth proportional to 264.99, 397.47 and 102.66 is: 153.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.99 : 397.47 = 102.66 : x
  2. Step 2: Convert to fraction form
    264.99/397.47 = 102.66/x
  3. Step 3: Cross multiply
    264.99x = 397.47 × 102.66
  4. Step 4: Simplify right side
    264.99x = 40,804.27
  5. Step 5: Solve for x
    x = 40,804.27/264.99
  6. Step 6: Final answer
    x = 153.98

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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.