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Finding the Fourth Proportional to 524.74, 787.09 and 178

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Solution

The fourth proportional to 524.74, 787.09 and 178 is: 266.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.74 : 787.09 = 178 : x
  2. Step 2: Convert to fraction form
    524.74/787.09 = 178/x
  3. Step 3: Cross multiply
    524.74x = 787.09 × 178
  4. Step 4: Simplify right side
    524.74x = 140,102.02
  5. Step 5: Solve for x
    x = 140,102.02/524.74
  6. Step 6: Final answer
    x = 266.99

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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.