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Finding the Fourth Proportional to 466.88, 700.40 and 158.76

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Solution

The fourth proportional to 466.88, 700.40 and 158.76 is: 238.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.88 : 700.40 = 158.76 : x
  2. Step 2: Convert to fraction form
    466.88/700.40 = 158.76/x
  3. Step 3: Cross multiply
    466.88x = 700.40 × 158.76
  4. Step 4: Simplify right side
    466.88x = 111,194.71
  5. Step 5: Solve for x
    x = 111,194.71/466.88
  6. Step 6: Final answer
    x = 238.17

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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.