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Finding the Fourth Proportional to 375.52, 562.53 and 193.06

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Solution

The fourth proportional to 375.52, 562.53 and 193.06 is: 289.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    375.52 : 562.53 = 193.06 : x
  2. Step 2: Convert to fraction form
    375.52/562.53 = 193.06/x
  3. Step 3: Cross multiply
    375.52x = 562.53 × 193.06
  4. Step 4: Simplify right side
    375.52x = 108,602.04
  5. Step 5: Solve for x
    x = 108,602.04/375.52
  6. Step 6: Final answer
    x = 289.20

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