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Finding the Fourth Proportional to 177.49, 264.88 and 175.19

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Solution

The fourth proportional to 177.49, 264.88 and 175.19 is: 261.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.49 : 264.88 = 175.19 : x
  2. Step 2: Convert to fraction form
    177.49/264.88 = 175.19/x
  3. Step 3: Cross multiply
    177.49x = 264.88 × 175.19
  4. Step 4: Simplify right side
    177.49x = 46,403.45
  5. Step 5: Solve for x
    x = 46,403.45/177.49
  6. Step 6: Final answer
    x = 261.45

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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.