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Finding the Fourth Proportional to 520, 780.12 and 178

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Solution

The fourth proportional to 520, 780.12 and 178 is: 267.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    520 : 780.12 = 178 : x
  2. Step 2: Convert to fraction form
    520/780.12 = 178/x
  3. Step 3: Cross multiply
    520x = 780.12 × 178
  4. Step 4: Simplify right side
    520x = 138,861.36
  5. Step 5: Solve for x
    x = 138,861.36/520
  6. Step 6: Final answer
    x = 267.04

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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.