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Finding the Fourth Proportional to 178.16, 266.52 and 142.16

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Solution

The fourth proportional to 178.16, 266.52 and 142.16 is: 212.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.16 : 266.52 = 142.16 : x
  2. Step 2: Convert to fraction form
    178.16/266.52 = 142.16/x
  3. Step 3: Cross multiply
    178.16x = 266.52 × 142.16
  4. Step 4: Simplify right side
    178.16x = 37,888.48
  5. Step 5: Solve for x
    x = 37,888.48/178.16
  6. Step 6: Final answer
    x = 212.67

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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.