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Finding the Fourth Proportional to 503.24, 754.88 and 156.63

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Solution

The fourth proportional to 503.24, 754.88 and 156.63 is: 234.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.24 : 754.88 = 156.63 : x
  2. Step 2: Convert to fraction form
    503.24/754.88 = 156.63/x
  3. Step 3: Cross multiply
    503.24x = 754.88 × 156.63
  4. Step 4: Simplify right side
    503.24x = 118,236.07
  5. Step 5: Solve for x
    x = 118,236.07/503.24
  6. Step 6: Final answer
    x = 234.95

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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.