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Finding the Fourth Proportional to 524.49, 786.71 and 178.00

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Solution

The fourth proportional to 524.49, 786.71 and 178.00 is: 266.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.49 : 786.71 = 178.00 : x
  2. Step 2: Convert to fraction form
    524.49/786.71 = 178.00/x
  3. Step 3: Cross multiply
    524.49x = 786.71 × 178.00
  4. Step 4: Simplify right side
    524.49x = 140,035.81
  5. Step 5: Solve for x
    x = 140,035.81/524.49
  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.