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Finding the Fourth Proportional to 264.94, 365.63 and 148.50

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Solution

The fourth proportional to 264.94, 365.63 and 148.50 is: 204.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.94 : 365.63 = 148.50 : x
  2. Step 2: Convert to fraction form
    264.94/365.63 = 148.50/x
  3. Step 3: Cross multiply
    264.94x = 365.63 × 148.50
  4. Step 4: Simplify right side
    264.94x = 54,295.31
  5. Step 5: Solve for x
    x = 54,295.31/264.94
  6. Step 6: Final answer
    x = 204.94

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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.