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Finding the Fourth Proportional to 264.19, 364.55 and 153.66

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Solution

The fourth proportional to 264.19, 364.55 and 153.66 is: 212.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.19 : 364.55 = 153.66 : x
  2. Step 2: Convert to fraction form
    264.19/364.55 = 153.66/x
  3. Step 3: Cross multiply
    264.19x = 364.55 × 153.66
  4. Step 4: Simplify right side
    264.19x = 56,016.75
  5. Step 5: Solve for x
    x = 56,016.75/264.19
  6. Step 6: Final answer
    x = 212.03

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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.