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Finding the Fourth Proportional to 178.61, 245.91 and 155.60

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Solution

The fourth proportional to 178.61, 245.91 and 155.60 is: 214.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.61 : 245.91 = 155.60 : x
  2. Step 2: Convert to fraction form
    178.61/245.91 = 155.60/x
  3. Step 3: Cross multiply
    178.61x = 245.91 × 155.60
  4. Step 4: Simplify right side
    178.61x = 38,263.60
  5. Step 5: Solve for x
    x = 38,263.60/178.61
  6. Step 6: Final answer
    x = 214.23

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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.