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Finding the Fourth Proportional to 264.36, 364.69 and 153.77

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Solution

The fourth proportional to 264.36, 364.69 and 153.77 is: 212.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.36 : 364.69 = 153.77 : x
  2. Step 2: Convert to fraction form
    264.36/364.69 = 153.77/x
  3. Step 3: Cross multiply
    264.36x = 364.69 × 153.77
  4. Step 4: Simplify right side
    264.36x = 56,077.18
  5. Step 5: Solve for x
    x = 56,077.18/264.36
  6. Step 6: Final answer
    x = 212.13

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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.