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Finding the Fourth Proportional to 176.59, 264.35 and 142.07

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Solution

The fourth proportional to 176.59, 264.35 and 142.07 is: 212.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.59 : 264.35 = 142.07 : x
  2. Step 2: Convert to fraction form
    176.59/264.35 = 142.07/x
  3. Step 3: Cross multiply
    176.59x = 264.35 × 142.07
  4. Step 4: Simplify right side
    176.59x = 37,555.24
  5. Step 5: Solve for x
    x = 37,555.24/176.59
  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.