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Finding the Fourth Proportional to 507.06, 760.23 and 177.93

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Solution

The fourth proportional to 507.06, 760.23 and 177.93 is: 266.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.06 : 760.23 = 177.93 : x
  2. Step 2: Convert to fraction form
    507.06/760.23 = 177.93/x
  3. Step 3: Cross multiply
    507.06x = 760.23 × 177.93
  4. Step 4: Simplify right side
    507.06x = 135,267.72
  5. Step 5: Solve for x
    x = 135,267.72/507.06
  6. Step 6: Final answer
    x = 266.77

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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.