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Finding the Fourth Proportional to 178.10, 265.02 and 177.50

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Solution

The fourth proportional to 178.10, 265.02 and 177.50 is: 264.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.10 : 265.02 = 177.50 : x
  2. Step 2: Convert to fraction form
    178.10/265.02 = 177.50/x
  3. Step 3: Cross multiply
    178.10x = 265.02 × 177.50
  4. Step 4: Simplify right side
    178.10x = 47,040.55
  5. Step 5: Solve for x
    x = 47,040.55/178.10
  6. Step 6: Final answer
    x = 264.12

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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.