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Finding the Fourth Proportional to 253.66, 349.89 and 176.02

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Solution

The fourth proportional to 253.66, 349.89 and 176.02 is: 242.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.66 : 349.89 = 176.02 : x
  2. Step 2: Convert to fraction form
    253.66/349.89 = 176.02/x
  3. Step 3: Cross multiply
    253.66x = 349.89 × 176.02
  4. Step 4: Simplify right side
    253.66x = 61,587.64
  5. Step 5: Solve for x
    x = 61,587.64/253.66
  6. Step 6: Final answer
    x = 242.80

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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.