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Finding the Fourth Proportional to 525.07, 787.64 and 159.87

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Solution

The fourth proportional to 525.07, 787.64 and 159.87 is: 239.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.07 : 787.64 = 159.87 : x
  2. Step 2: Convert to fraction form
    525.07/787.64 = 159.87/x
  3. Step 3: Cross multiply
    525.07x = 787.64 × 159.87
  4. Step 4: Simplify right side
    525.07x = 125,920.01
  5. Step 5: Solve for x
    x = 125,920.01/525.07
  6. Step 6: Final answer
    x = 239.82

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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.