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Finding the Fourth Proportional to 310.88, 466.59 and 148.64

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Solution

The fourth proportional to 310.88, 466.59 and 148.64 is: 223.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.88 : 466.59 = 148.64 : x
  2. Step 2: Convert to fraction form
    310.88/466.59 = 148.64/x
  3. Step 3: Cross multiply
    310.88x = 466.59 × 148.64
  4. Step 4: Simplify right side
    310.88x = 69,353.94
  5. Step 5: Solve for x
    x = 69,353.94/310.88
  6. Step 6: Final answer
    x = 223.09

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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.