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Finding the Fourth Proportional to 526.94, 790.34 and 161.76

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Solution

The fourth proportional to 526.94, 790.34 and 161.76 is: 242.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.94 : 790.34 = 161.76 : x
  2. Step 2: Convert to fraction form
    526.94/790.34 = 161.76/x
  3. Step 3: Cross multiply
    526.94x = 790.34 × 161.76
  4. Step 4: Simplify right side
    526.94x = 127,844.59
  5. Step 5: Solve for x
    x = 127,844.59/526.94
  6. Step 6: Final answer
    x = 242.62

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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.