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Finding the Fourth Proportional to 264.79, 364.66 and 242.92

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Solution

The fourth proportional to 264.79, 364.66 and 242.92 is: 334.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.79 : 364.66 = 242.92 : x
  2. Step 2: Convert to fraction form
    264.79/364.66 = 242.92/x
  3. Step 3: Cross multiply
    264.79x = 364.66 × 242.92
  4. Step 4: Simplify right side
    264.79x = 88,583.21
  5. Step 5: Solve for x
    x = 88,583.21/264.79
  6. Step 6: Final answer
    x = 334.54

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.