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Finding the Fourth Proportional to 320.55, 442.35 and 178.75

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Solution

The fourth proportional to 320.55, 442.35 and 178.75 is: 246.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.55 : 442.35 = 178.75 : x
  2. Step 2: Convert to fraction form
    320.55/442.35 = 178.75/x
  3. Step 3: Cross multiply
    320.55x = 442.35 × 178.75
  4. Step 4: Simplify right side
    320.55x = 79,070.06
  5. Step 5: Solve for x
    x = 79,070.06/320.55
  6. Step 6: Final answer
    x = 246.67

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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.