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Finding the Fourth Proportional to 248.84, 373.14 and 175.80

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Solution

The fourth proportional to 248.84, 373.14 and 175.80 is: 263.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    248.84 : 373.14 = 175.80 : x
  2. Step 2: Convert to fraction form
    248.84/373.14 = 175.80/x
  3. Step 3: Cross multiply
    248.84x = 373.14 × 175.80
  4. Step 4: Simplify right side
    248.84x = 65,598.01
  5. Step 5: Solve for x
    x = 65,598.01/248.84
  6. Step 6: Final answer
    x = 263.62

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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.