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Finding the Fourth Proportional to 152.61, 210.35 and 119.36

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Solution

The fourth proportional to 152.61, 210.35 and 119.36 is: 164.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.61 : 210.35 = 119.36 : x
  2. Step 2: Convert to fraction form
    152.61/210.35 = 119.36/x
  3. Step 3: Cross multiply
    152.61x = 210.35 × 119.36
  4. Step 4: Simplify right side
    152.61x = 25,106.77
  5. Step 5: Solve for x
    x = 25,106.77/152.61
  6. Step 6: Final answer
    x = 164.52

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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.