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Finding the Fourth Proportional to 264.32, 396.57 and 102.02

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Solution

The fourth proportional to 264.32, 396.57 and 102.02 is: 153.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.32 : 396.57 = 102.02 : x
  2. Step 2: Convert to fraction form
    264.32/396.57 = 102.02/x
  3. Step 3: Cross multiply
    264.32x = 396.57 × 102.02
  4. Step 4: Simplify right side
    264.32x = 40,458.07
  5. Step 5: Solve for x
    x = 40,458.07/264.32
  6. Step 6: Final answer
    x = 153.06

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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.