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Finding the Fourth Proportional to 292.51, 438.84 and 87.07

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Solution

The fourth proportional to 292.51, 438.84 and 87.07 is: 130.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.51 : 438.84 = 87.07 : x
  2. Step 2: Convert to fraction form
    292.51/438.84 = 87.07/x
  3. Step 3: Cross multiply
    292.51x = 438.84 × 87.07
  4. Step 4: Simplify right side
    292.51x = 38,209.80
  5. Step 5: Solve for x
    x = 38,209.80/292.51
  6. Step 6: Final answer
    x = 130.63

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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.