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Finding the Fourth Proportional to 264.90, 397.04 and 134.86

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Solution

The fourth proportional to 264.90, 397.04 and 134.86 is: 202.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.90 : 397.04 = 134.86 : x
  2. Step 2: Convert to fraction form
    264.90/397.04 = 134.86/x
  3. Step 3: Cross multiply
    264.90x = 397.04 × 134.86
  4. Step 4: Simplify right side
    264.90x = 53,544.81
  5. Step 5: Solve for x
    x = 53,544.81/264.90
  6. Step 6: Final answer
    x = 202.13

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.