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Finding the Fourth Proportional to 177.10, 265.56 and 162.04

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Solution

The fourth proportional to 177.10, 265.56 and 162.04 is: 242.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.10 : 265.56 = 162.04 : x
  2. Step 2: Convert to fraction form
    177.10/265.56 = 162.04/x
  3. Step 3: Cross multiply
    177.10x = 265.56 × 162.04
  4. Step 4: Simplify right side
    177.10x = 43,031.34
  5. Step 5: Solve for x
    x = 43,031.34/177.10
  6. Step 6: Final answer
    x = 242.98

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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.