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Finding the Fourth Proportional to 338.16, 507.32 and 145.76

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Solution

The fourth proportional to 338.16, 507.32 and 145.76 is: 218.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.16 : 507.32 = 145.76 : x
  2. Step 2: Convert to fraction form
    338.16/507.32 = 145.76/x
  3. Step 3: Cross multiply
    338.16x = 507.32 × 145.76
  4. Step 4: Simplify right side
    338.16x = 73,946.96
  5. Step 5: Solve for x
    x = 73,946.96/338.16
  6. Step 6: Final answer
    x = 218.67

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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.