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Finding the Fourth Proportional to 264.22, 364.66 and 153.76

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Solution

The fourth proportional to 264.22, 364.66 and 153.76 is: 212.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.22 : 364.66 = 153.76 : x
  2. Step 2: Convert to fraction form
    264.22/364.66 = 153.76/x
  3. Step 3: Cross multiply
    264.22x = 364.66 × 153.76
  4. Step 4: Simplify right side
    264.22x = 56,070.12
  5. Step 5: Solve for x
    x = 56,070.12/264.22
  6. Step 6: Final answer
    x = 212.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.