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Finding the Fourth Proportional to 177.66, 245.01 and 174

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Solution

The fourth proportional to 177.66, 245.01 and 174 is: 239.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.66 : 245.01 = 174 : x
  2. Step 2: Convert to fraction form
    177.66/245.01 = 174/x
  3. Step 3: Cross multiply
    177.66x = 245.01 × 174
  4. Step 4: Simplify right side
    177.66x = 42,631.74
  5. Step 5: Solve for x
    x = 42,631.74/177.66
  6. Step 6: Final answer
    x = 239.96

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