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Finding the Fourth Proportional to 248.76, 373.18 and 120.50

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Solution

The fourth proportional to 248.76, 373.18 and 120.50 is: 180.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    248.76 : 373.18 = 120.50 : x
  2. Step 2: Convert to fraction form
    248.76/373.18 = 120.50/x
  3. Step 3: Cross multiply
    248.76x = 373.18 × 120.50
  4. Step 4: Simplify right side
    248.76x = 44,968.19
  5. Step 5: Solve for x
    x = 44,968.19/248.76
  6. Step 6: Final answer
    x = 180.77

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Why These Related Problems?

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