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Finding the Fourth Proportional to 264.24, 364.62 and 153.72

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Solution

The fourth proportional to 264.24, 364.62 and 153.72 is: 212.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.24 : 364.62 = 153.72 : x
  2. Step 2: Convert to fraction form
    264.24/364.62 = 153.72/x
  3. Step 3: Cross multiply
    264.24x = 364.62 × 153.72
  4. Step 4: Simplify right side
    264.24x = 56,049.39
  5. Step 5: Solve for x
    x = 56,049.39/264.24
  6. Step 6: Final answer
    x = 212.12

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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.