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Finding the Fourth Proportional to 253.65, 349.73 and 155.32

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Solution

The fourth proportional to 253.65, 349.73 and 155.32 is: 214.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.65 : 349.73 = 155.32 : x
  2. Step 2: Convert to fraction form
    253.65/349.73 = 155.32/x
  3. Step 3: Cross multiply
    253.65x = 349.73 × 155.32
  4. Step 4: Simplify right side
    253.65x = 54,319.87
  5. Step 5: Solve for x
    x = 54,319.87/253.65
  6. Step 6: Final answer
    x = 214.15

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.