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Finding the Fourth Proportional to 368.02, 552.16 and 175.50

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Solution

The fourth proportional to 368.02, 552.16 and 175.50 is: 263.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    368.02 : 552.16 = 175.50 : x
  2. Step 2: Convert to fraction form
    368.02/552.16 = 175.50/x
  3. Step 3: Cross multiply
    368.02x = 552.16 × 175.50
  4. Step 4: Simplify right side
    368.02x = 96,904.08
  5. Step 5: Solve for x
    x = 96,904.08/368.02
  6. Step 6: Final answer
    x = 263.31

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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.