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Finding the Fourth Proportional to 264.18, 364.60 and 153.66

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Solution

The fourth proportional to 264.18, 364.60 and 153.66 is: 212.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.18 : 364.60 = 153.66 : x
  2. Step 2: Convert to fraction form
    264.18/364.60 = 153.66/x
  3. Step 3: Cross multiply
    264.18x = 364.60 × 153.66
  4. Step 4: Simplify right side
    264.18x = 56,024.44
  5. Step 5: Solve for x
    x = 56,024.44/264.18
  6. Step 6: Final answer
    x = 212.07

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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.