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Finding the Fourth Proportional to 160.04, 238.08 and 157.16

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Solution

The fourth proportional to 160.04, 238.08 and 157.16 is: 233.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.04 : 238.08 = 157.16 : x
  2. Step 2: Convert to fraction form
    160.04/238.08 = 157.16/x
  3. Step 3: Cross multiply
    160.04x = 238.08 × 157.16
  4. Step 4: Simplify right side
    160.04x = 37,416.65
  5. Step 5: Solve for x
    x = 37,416.65/160.04
  6. Step 6: Final answer
    x = 233.80

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.