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Finding the Fourth Proportional to 527.15, 790.84 and 161.93

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Solution

The fourth proportional to 527.15, 790.84 and 161.93 is: 242.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.15 : 790.84 = 161.93 : x
  2. Step 2: Convert to fraction form
    527.15/790.84 = 161.93/x
  3. Step 3: Cross multiply
    527.15x = 790.84 × 161.93
  4. Step 4: Simplify right side
    527.15x = 128,062.90
  5. Step 5: Solve for x
    x = 128,062.90/527.15
  6. Step 6: Final answer
    x = 242.93

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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.