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Finding the Fourth Proportional to 264.07, 364.32 and 176.80

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Solution

The fourth proportional to 264.07, 364.32 and 176.80 is: 243.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.07 : 364.32 = 176.80 : x
  2. Step 2: Convert to fraction form
    264.07/364.32 = 176.80/x
  3. Step 3: Cross multiply
    264.07x = 364.32 × 176.80
  4. Step 4: Simplify right side
    264.07x = 64,411.78
  5. Step 5: Solve for x
    x = 64,411.78/264.07
  6. Step 6: Final answer
    x = 243.92

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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.