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Finding the Fourth Proportional to 583.75, 875.56 and 150.91

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Solution

The fourth proportional to 583.75, 875.56 and 150.91 is: 226.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.75 : 875.56 = 150.91 : x
  2. Step 2: Convert to fraction form
    583.75/875.56 = 150.91/x
  3. Step 3: Cross multiply
    583.75x = 875.56 × 150.91
  4. Step 4: Simplify right side
    583.75x = 132,130.76
  5. Step 5: Solve for x
    x = 132,130.76/583.75
  6. Step 6: Final answer
    x = 226.35

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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.