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Finding the Fourth Proportional to 248.02, 341.60 and 182.40

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Solution

The fourth proportional to 248.02, 341.60 and 182.40 is: 251.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    248.02 : 341.60 = 182.40 : x
  2. Step 2: Convert to fraction form
    248.02/341.60 = 182.40/x
  3. Step 3: Cross multiply
    248.02x = 341.60 × 182.40
  4. Step 4: Simplify right side
    248.02x = 62,307.84
  5. Step 5: Solve for x
    x = 62,307.84/248.02
  6. Step 6: Final answer
    x = 251.22

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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.