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Finding the Fourth Proportional to 164, 245.69 and 154.47

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Solution

The fourth proportional to 164, 245.69 and 154.47 is: 231.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    164 : 245.69 = 154.47 : x
  2. Step 2: Convert to fraction form
    164/245.69 = 154.47/x
  3. Step 3: Cross multiply
    164x = 245.69 × 154.47
  4. Step 4: Simplify right side
    164x = 37,950.35
  5. Step 5: Solve for x
    x = 37,950.35/164
  6. Step 6: Final answer
    x = 231.40

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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.