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Finding the Fourth Proportional to 452.77, 678.74 and 164

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Solution

The fourth proportional to 452.77, 678.74 and 164 is: 245.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.77 : 678.74 = 164 : x
  2. Step 2: Convert to fraction form
    452.77/678.74 = 164/x
  3. Step 3: Cross multiply
    452.77x = 678.74 × 164
  4. Step 4: Simplify right side
    452.77x = 111,313.36
  5. Step 5: Solve for x
    x = 111,313.36/452.77
  6. Step 6: Final answer
    x = 245.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.