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Finding the Fourth Proportional to 264.79, 396.93 and 100.14

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Solution

The fourth proportional to 264.79, 396.93 and 100.14 is: 150.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.79 : 396.93 = 100.14 : x
  2. Step 2: Convert to fraction form
    264.79/396.93 = 100.14/x
  3. Step 3: Cross multiply
    264.79x = 396.93 × 100.14
  4. Step 4: Simplify right side
    264.79x = 39,746.61
  5. Step 5: Solve for x
    x = 39,746.61/264.79
  6. Step 6: Final answer
    x = 150.10

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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.