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Finding the Fourth Proportional to 177.48, 245.16 and 153.36

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Solution

The fourth proportional to 177.48, 245.16 and 153.36 is: 211.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.48 : 245.16 = 153.36 : x
  2. Step 2: Convert to fraction form
    177.48/245.16 = 153.36/x
  3. Step 3: Cross multiply
    177.48x = 245.16 × 153.36
  4. Step 4: Simplify right side
    177.48x = 37,597.74
  5. Step 5: Solve for x
    x = 37,597.74/177.48
  6. Step 6: Final answer
    x = 211.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.