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Finding the Fourth Proportional to 526.86, 790.16 and 161.56

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Solution

The fourth proportional to 526.86, 790.16 and 161.56 is: 242.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.86 : 790.16 = 161.56 : x
  2. Step 2: Convert to fraction form
    526.86/790.16 = 161.56/x
  3. Step 3: Cross multiply
    526.86x = 790.16 × 161.56
  4. Step 4: Simplify right side
    526.86x = 127,658.25
  5. Step 5: Solve for x
    x = 127,658.25/526.86
  6. Step 6: Final answer
    x = 242.30

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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.