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Finding the Fourth Proportional to 177.86, 265.07 and 177.59

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Solution

The fourth proportional to 177.86, 265.07 and 177.59 is: 264.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.86 : 265.07 = 177.59 : x
  2. Step 2: Convert to fraction form
    177.86/265.07 = 177.59/x
  3. Step 3: Cross multiply
    177.86x = 265.07 × 177.59
  4. Step 4: Simplify right side
    177.86x = 47,072.23
  5. Step 5: Solve for x
    x = 47,072.23/177.86
  6. Step 6: Final answer
    x = 264.67

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.