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Finding the Fourth Proportional to 264.34, 364.72 and 166.06

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Solution

The fourth proportional to 264.34, 364.72 and 166.06 is: 229.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.34 : 364.72 = 166.06 : x
  2. Step 2: Convert to fraction form
    264.34/364.72 = 166.06/x
  3. Step 3: Cross multiply
    264.34x = 364.72 × 166.06
  4. Step 4: Simplify right side
    264.34x = 60,565.40
  5. Step 5: Solve for x
    x = 60,565.40/264.34
  6. Step 6: Final answer
    x = 229.12

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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.