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Finding the Fourth Proportional to 177.14, 265.29 and 150.02

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Solution

The fourth proportional to 177.14, 265.29 and 150.02 is: 224.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.14 : 265.29 = 150.02 : x
  2. Step 2: Convert to fraction form
    177.14/265.29 = 150.02/x
  3. Step 3: Cross multiply
    177.14x = 265.29 × 150.02
  4. Step 4: Simplify right side
    177.14x = 39,798.81
  5. Step 5: Solve for x
    x = 39,798.81/177.14
  6. Step 6: Final answer
    x = 224.67

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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.