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Finding the Fourth Proportional to 305.42, 457.72 and 122.56

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Solution

The fourth proportional to 305.42, 457.72 and 122.56 is: 183.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.42 : 457.72 = 122.56 : x
  2. Step 2: Convert to fraction form
    305.42/457.72 = 122.56/x
  3. Step 3: Cross multiply
    305.42x = 457.72 × 122.56
  4. Step 4: Simplify right side
    305.42x = 56,096.71
  5. Step 5: Solve for x
    x = 56,096.71/305.42
  6. Step 6: Final answer
    x = 183.67

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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.