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Finding the Fourth Proportional to 177.08, 265.68 and 164.72

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Solution

The fourth proportional to 177.08, 265.68 and 164.72 is: 247.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.08 : 265.68 = 164.72 : x
  2. Step 2: Convert to fraction form
    177.08/265.68 = 164.72/x
  3. Step 3: Cross multiply
    177.08x = 265.68 × 164.72
  4. Step 4: Simplify right side
    177.08x = 43,762.81
  5. Step 5: Solve for x
    x = 43,762.81/177.08
  6. Step 6: Final answer
    x = 247.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.