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Finding the Fourth Proportional to 310.76, 466.40 and 164.67

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Solution

The fourth proportional to 310.76, 466.40 and 164.67 is: 247.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.76 : 466.40 = 164.67 : x
  2. Step 2: Convert to fraction form
    310.76/466.40 = 164.67/x
  3. Step 3: Cross multiply
    310.76x = 466.40 × 164.67
  4. Step 4: Simplify right side
    310.76x = 76,802.09
  5. Step 5: Solve for x
    x = 76,802.09/310.76
  6. Step 6: Final answer
    x = 247.14

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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.